{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 傅里叶变换简介及Python实现"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 傅里叶变换数学介绍\n",
    "\n",
    "1、一维连续傅里叶变换\n",
    "\n",
    "$$\n",
    "F(\\omega) = \\mathscr{F}[f(t)] = \\int_{-\\infty}^{+\\infty}f(t)e^{-i\\omega t}dt\n",
    "$$\n",
    "\n",
    "2、二维连续傅里叶变换\n",
    "\n",
    "$$\n",
    "F(u,v) = \\int_{-\\infty}^{+\\infty}\\int_{-\\infty}^{+\\infty}f(x,y)e^{-j2\\pi(ux+vy)}dxdy\n",
    "$$\n",
    "\n",
    "3、二维离散傅里叶变换\n",
    "\n",
    "$$\n",
    "F(u,v) = \\frac{1}{MN}\\sum\\limits_{x=0}^{M-1}\\sum\\limits_{y=0}^{N-1}f(x,y)e^{-j2\\pi(\\frac{ux}{M}+\\frac{vy}{N})}\\\\其中,u=0,1,...,M-1;v=0,1,...,N-1\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 傅里叶变换函数调用\n",
    "\n",
    "1、使用 Python 的 numpy 库可以实现傅里叶变换函数的直接调用，具体调用代码如下"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "# 读取图片并使用plt进行图片展示\n",
    "original_img_color = plt.imread(\"../../src/Lenna.jpg\")\n",
    "plt.subplot(121), plt.imshow(original_img_color), plt.title(\"Original Image In Color\"), plt.axis(\"off\")\n",
    "\n",
    "# 原图装换为灰度图并使用plt进行图片展示\n",
    "original_img = 0.2126 * original_img_color[:,:,0] + 0.7152 * original_img_color[:,:,1] + 0.0722 * original_img_color[:,:,2]\n",
    "plt.subplot(122), plt.imshow(original_img, \"gray\"), plt.title(\"Original Image\"), plt.axis(\"off\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2、调用 Numpy 的傅里叶变换函数实现原图的傅里叶变换"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 直接调用傅里叶变换函数\n",
    "fft_img = np.fft.fft2(original_img)\n",
    "\n",
    "# 图片展示\n",
    "plt.subplot(111), plt.imshow(np.abs(fft_img), \"gray\"), plt.title(\"FFT Image\"), plt.axis(\"off\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看到显示出来的图片是一片黑色，没有明显的特征。我们可以使用动态图像增强技术对图像对比度进行处理。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 直接调用傅里叶变换函数\n",
    "log_fft_img = np.log(1 + np.abs(fft_img))\n",
    "\n",
    "# 图片展示\n",
    "plt.subplot(111), plt.imshow(log_fft_img, \"gray\"), plt.title(\"Log FFT Image\"), plt.axis(\"off\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看到，使用 log 函数以后的图像有了明显的特征。我们还可以进一步把图像的原点移至图片中心。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 直接调用傅里叶变换函数\n",
    "fft_shift_img = np.fft.fftshift(fft_img)\n",
    "log_fft_shift_img = np.log(1 + np.abs(fft_shift_img))\n",
    "\n",
    "# 图片展示\n",
    "plt.subplot(111), plt.imshow(log_fft_shift_img, \"gray\"), plt.title(\"Log FFT Shift Image\"), plt.axis(\"off\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "于是我们实现了直接调用 Numpy 的傅里叶变换函数实现图片从时域到频域的变换。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 图片对比展示\n",
    "plt.subplot(231), plt.imshow(original_img_color), plt.title(\"Original Image\"), plt.axis(\"off\")\n",
    "plt.subplot(234), plt.imshow(original_img, \"gray\"), plt.title(\"Original Image In Gray\"), plt.axis(\"off\")\n",
    "plt.subplot(232), plt.imshow(np.abs(fft_img), \"gray\"), plt.title(\"FFT Image\"), plt.axis(\"off\")\n",
    "plt.subplot(233), plt.imshow(np.abs(fft_shift_img), \"gray\"), plt.title(\"FFT Shift Image\"), plt.axis(\"off\")\n",
    "plt.subplot(235), plt.imshow(log_fft_img, \"gray\"), plt.title(\"Log FFT Image\"), plt.axis(\"off\")\n",
    "plt.subplot(236), plt.imshow(log_fft_shift_img, \"gray\"), plt.title(\"Log FFT Shift Image\"), plt.axis(\"off\")\n",
    "\n",
    "plt.subplots_adjust(right=1.0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 傅里叶变换简单实现"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "根据离散傅里叶变换公式\n",
    "\n",
    "$$\n",
    "F(u,v) = \\frac{1}{MN}\\sum\\limits_{x=0}^{M-1}\\sum\\limits_{y=0}^{N-1}f(x,y)e^{-j2\\pi(\\frac{ux}{M}+\\frac{uy}{N})}\\\\其中,u=0,1,...,M-1;y=0,1,...,N-1\n",
    "$$\n",
    "\n",
    "简单暴力的使用 for 循环进行傅里叶变换的计算：求每个点的频域值，并把所有点的频域值进行求绝对值，最后得到傅里叶变换后的图片"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "256 256\n",
      "(0,0)(0,1)(0,2)(0,3)(0,4)(0,5)(0,6)(0,7)(0,8)(0,9)(0,10)(0,11)(0,12)(0,13)(0,14)(0,15)(0,16)(0,17)(0,18)(0,19)(0,20)(0,21)(0,22)(0,23)(0,24)(0,25)(0,26)(0,27)(0,28)(0,29)(0,30)(0,31)(0,32)(0,33)(0,34)(0,35)(0,36)(0,37)(0,38)(0,39)(0,40)(0,41)(0,42)(0,43)(0,44)(0,45)(0,46)(0,47)(0,48)(0,49)(0,50)(0,51)(0,52)(0,53)(0,54)(0,55)(0,56)(0,57)(0,58)(0,59)(0,60)(0,61)(0,62)(0,63)(0,64)(0,65)(0,66)(0,67)(0,68)(0,69)(0,70)(0,71)(0,72)(0,73)(0,74)(0,75)(0,76)(0,77)(0,78)(0,79)"
     ]
    },
    {
     "ename": "KeyboardInterrupt",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-6-c8ec2487a2ab>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m     13\u001b[0m         \u001b[1;32mfor\u001b[0m \u001b[0mx\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mrow\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     14\u001b[0m             \u001b[1;32mfor\u001b[0m \u001b[0my\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mcol\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 15\u001b[1;33m                 \u001b[0mres\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mres\u001b[0m \u001b[1;33m+\u001b[0m \u001b[0moriginal_img\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0my\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m*\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mexp\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m-\u001b[0m\u001b[1;36m1j\u001b[0m \u001b[1;33m*\u001b[0m \u001b[1;36m2\u001b[0m \u001b[1;33m*\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mpi\u001b[0m \u001b[1;33m*\u001b[0m \u001b[1;33m(\u001b[0m\u001b[0mu\u001b[0m \u001b[1;33m*\u001b[0m \u001b[0mx\u001b[0m \u001b[1;33m/\u001b[0m \u001b[0mrow\u001b[0m \u001b[1;33m+\u001b[0m \u001b[0mv\u001b[0m \u001b[1;33m*\u001b[0m \u001b[0my\u001b[0m \u001b[1;33m/\u001b[0m \u001b[0mcol\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     16\u001b[0m         \u001b[0mfft_img_b\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mu\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mv\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mres\u001b[0m \u001b[1;33m/\u001b[0m \u001b[0mrow\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     17\u001b[0m         \u001b[0mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m\"({0},{1})\"\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mu\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mv\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mend\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m\"\"\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;31m#显示正在计算的点的坐标\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mKeyboardInterrupt\u001b[0m: "
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "# 获得图片的横坐标像素和纵坐标像素\n",
    "row, col = original_img.shape\n",
    "print(row, col)\n",
    "\n",
    "# 计算图片的傅里叶变换（不使用快速傅里叶变换算法）\n",
    "fft_img_b = np.zeros([row, col], \"complex128\")\n",
    "for u in range(row):\n",
    "    for v in range(col):\n",
    "        res = 0\n",
    "        for x in range(row):\n",
    "            for y in range(col):\n",
    "                res = res + original_img[x, y] * np.exp(-1j * 2 * np.pi * (u * x / row + v * y / col))\n",
    "        fft_img_b[u, v] = res / row\n",
    "        print(\"({0},{1})\".format(u, v), end=\"\") #显示正在计算的点的坐标\n",
    "log_fft_img_b = np.log(1 + np.abs(fft_img_b)) #频域图像增强\n",
    "fft_shift_img_b = np.fft.fftshift(fft_img_b) #移频至图片中心\n",
    "log_fft_shift_img_b = np.log(1 + np.abs(fft_shift_img_b)) #移频后的图片增强\n",
    "\n",
    "# 图片展示\n",
    "plt.subplot(221), plt.imshow(np.abs(fft_img_b), \"gray\"), plt.title(\"FFT Image B\"), plt.axis(\"off\")\n",
    "plt.subplot(222), plt.imshow(np.abs(fft_shift_img_b), \"gray\"), plt.title(\"FFT Shift Image B\"), plt.axis(\"off\")\n",
    "plt.subplot(223), plt.imshow(log_fft_img_b, \"gray\"), plt.title(\"Log FFT Image B\"), plt.axis(\"off\")\n",
    "plt.subplot(224), plt.imshow(log_fft_shift_img_b, \"gray\"), plt.title(\"Log FFT Shift Image B\"), plt.axis(\"off\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用上述方法实现的傅里叶变换因为其算法复杂度是 $N^2$ ，并且计算过程中使用了过多的 for 循环，使得计算时间过长，完整跑一次需要大概四个小时的时间，所以其计算性能并不好。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 快速傅里叶变换实现\n",
    "\n",
    "为了提高傅里叶变换的计算效率，快速傅里叶变换因运而生。快速傅里叶变换可以使得算法复杂度降至 $Nlog_2N$ ，大大提高计算效率，缩短计算时间。如果配合 Numpy 的矩阵计算，则计算速度可以再提高一个台阶。下面是快速傅里叶变换的实现过程"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1、首先导入需要使用的库"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import math\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2、定义函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 从新数组位置到原数组位置的映射\n",
    "# original_number: 新数组中的位置编号\n",
    "# bit: 新数组/原数组 的数组长度对应的比特数\n",
    "def locationMap(original_number, bit):\n",
    "    res = 0\n",
    "    for i in range(bit):\n",
    "        res = res + math.trunc(((original_number & math.trunc(math.pow(2, i))) >> i) * math.pow(2, bit - i - 1))\n",
    "    return res\n",
    "\n",
    "\n",
    "# 对原来的数组进行重排\n",
    "# original_array: 原数组，二维数组\n",
    "# axisX: 対原数组的X轴进行重排(True)/Y轴进行重排(False)\n",
    "def arrayRearrangement(original_array, axisX=True):\n",
    "    row, col = original_array.shape\n",
    "    row_bit = math.trunc(math.log(row, 2))\n",
    "    col_bit = math.trunc(math.log(col, 2))\n",
    "    new_array = np.zeros([row, col], dtype=original_array.dtype)\n",
    "    # print(\"original array type : {0}\".format(original_array.dtype))\n",
    "    if axisX == True:\n",
    "        for i in range(col):\n",
    "            new_array[:,i] = original_array[:,locationMap(i, col_bit)]\n",
    "    else:\n",
    "        for i in range(row):\n",
    "            new_array[i,:] = original_array[locationMap(i, row_bit),:]\n",
    "    return new_array\n",
    "\n",
    "\n",
    "# 对排序后的数组进行X轴傅里叶变换\n",
    "# rearranged_array: 重排后的数组\n",
    "# colLength: 重排后的数组的列数\n",
    "def Xtransformation(rearranged_array, colLength):\n",
    "    M = len(rearranged_array)\n",
    "    if M == colLength:\n",
    "        return np.hstack(rearranged_array)\n",
    "    new_array = [0 for i in range(2 * M)]\n",
    "    for i in range(M):\n",
    "        even_array = rearranged_array[i][:,::2]\n",
    "        odd_array = rearranged_array[i][:,1::2] * np.exp(-1j * np.pi * i / M)\n",
    "        # new_array[i] = (even_array + odd_array) / 2\n",
    "        # new_array[i + M] = (even_array - odd_array) / 2\n",
    "        new_array[i] = (even_array + odd_array)\n",
    "        new_array[i + M] = (even_array - odd_array)\n",
    "    return Xtransformation(new_array, colLength)\n",
    "\n",
    "\n",
    "# 对重排后的数组进行Y轴的傅里叶变换\n",
    "# rearranged_array: 重排后的数组\n",
    "# rowLength: 重排后的数组的行数\n",
    "def Ytransformation(rearranged_array, rowLength):\n",
    "    M = len(rearranged_array)\n",
    "    if M == rowLength:\n",
    "        return np.vstack(rearranged_array)\n",
    "    new_array = [0 for i in range(2 * M)]\n",
    "    for i in range(M):\n",
    "        even_array = rearranged_array[i][::2]\n",
    "        odd_array = rearranged_array[i][1::2] * np.exp(-1j * np.pi * i / M)\n",
    "        # new_array[i] = (even_array + odd_array) / 2\n",
    "        # new_array[i + M] = (even_array - odd_array) / 2\n",
    "        new_array[i] = (even_array + odd_array)\n",
    "        new_array[i + M] = (even_array - odd_array)\n",
    "    return Ytransformation(new_array, rowLength)\n",
    "\n",
    "\n",
    "# 对输入数组进行快速傅里叶变换\n",
    "# original_array: 输入数组，该数组的行数与列数必须是2的指数\n",
    "def FFT(original_array):\n",
    "    row, col = original_array.shape\n",
    "    if math.modf(math.log(row, 2))[0] != 0.0 and math.modf(math.log(col, 2))[0] != 0.0:\n",
    "        print(\"输入矩阵的维度错误，输入矩阵的行与列都必须是2的指数！\")\n",
    "        return None\n",
    "    else:\n",
    "        Xtraned_array = Xtransformation([arrayRearrangement(original_array, axisX=True)], col)\n",
    "        # FFT_array = Ytransformation([arrayRearrangement(Xtraned_array * col, axisX=False)], row)\n",
    "        FFT_array = Ytransformation([arrayRearrangement(Xtraned_array, axisX=False)], row)\n",
    "        # return FFT_array * row\n",
    "        return FFT_array"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3、使用编写的函数进行快速傅里叶变换的计算"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 计算图片的傅里叶变换（快速傅里叶变换）\n",
    "fft_img_a = FFT(original_img)\n",
    "log_fft_img_a = np.log(1 + np.abs(fft_img_a))\n",
    "fft_shift_img_a = np.fft.fftshift(fft_img_a)\n",
    "log_fft_shift_img_a = np.log(1 + np.abs(fft_shift_img_a))\n",
    "\n",
    "# 图片展示\n",
    "plt.subplot(221), plt.imshow(np.abs(fft_img_a), \"gray\"), plt.title(\"FFT Image A\"), plt.axis(\"off\")\n",
    "plt.subplot(222), plt.imshow(np.abs(fft_shift_img_a), \"gray\"), plt.title(\"FFT Shift Image A\"), plt.axis(\"off\")\n",
    "plt.subplot(223), plt.imshow(log_fft_img_a, \"gray\"), plt.title(\"Log FFT Image A\"), plt.axis(\"off\")\n",
    "plt.subplot(224), plt.imshow(log_fft_shift_img_a, \"gray\"), plt.title(\"Log FFT Shift Image A\"), plt.axis(\"off\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "4、Numpy 函数调用结果与自定义的快速傅里叶变换计算结果进行对比"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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8JSw9FpH7J0RjA8IFxXGs/X6vNE01mUy0Wq00Go2MryO04n58boxFJjTkO7gGeEKyt9xjt9u17C/eC6EymXw24maz0eFw0Hw+t3lg3fHe9vv9FZjZZH5S5ebmxn5f12iw3WC7Lmw/+dBttVomh+AC/RCA8ATr22q1dDgcLCxDJkKYguXqdDo6HA5m1Uko9Pt9I7IJ17B+kixkAJj7/d4IfDwS/mYjYAUJKeCwzuezJpOJ3Qtew3w+NxmR72EQAg4GA+PMAMZsNjNOiBASD4D3Q/STCSaE8UMVFu14PNrcMcd4ClEU6Xg8ajKZ6Hg8arVaaTweGzDxmrrdrl0LYTH3CUh9HrHb7ep8Ptt68m8Ai8UH/CRG+AzWkYx4v9/X8XhUFEW2bmBCkuGgrtFgu8F2Xdh+9qHLxOLGw2Hwu/1+b6Dl5pHiMNkAj/dJle6REMXnjPjdfr+3DClWkElL09QsGVwYCQs+C3DCwcClsbFarZZOp5OFKUmSXCUNfD4L8AOkyWRilrbb7SpNU0myeSCsg6siDD2fzxoOh7ZJO52OzuezZUd9IPIZeZ5bKMn8DodDAzeawo+5NHSUURRZaIwHA6gI2wj//E242WzU6XRskwJekjncZ7fb1WAwsFASMHItfIZ08R7a7XatfK7UYLvBdn3YfpLT9SUc3CR8BhbBOafpdGr8EzIP3Pi3b9+apYK0hy8i1Gq32xqPx2Zd4IawICQK8EzguUh+sCkAWJZl2mw2Jn4ejUbq9/saj8emz/PDFKki9cMw1Gq1MstNiEU4mWWZdrud8W14KngKvp6v0+l800w2c9RqtUzniReUpqnevHlzBZhut2t8WZIklv2GKxwMBpYQQJAuyRIyvpeFhAZpDeExoeh+v7cHAK8jJJ1Opzqfz5aA4mHBAwvrzuYmxEuSxHhDMPTu3Tstl0vb7HWMBtsNtuvC9rMPXS7Ut74+mb5cLnV/f29VPb1ezzK63ADW6OHhwaykVFnWdrttVh+eZbPZWAiFLnK5XBqRj0uP1pLQB+vOwvO5/kTwWsIryPwwDDUcDjWZTKxiBmkK99xut/XixQurDoLz4fdsYrwgvB2sYr/ft/khrCK8hfd69eqVZZvxIghxAB73vNls9LM/+7MGYL4fCw5Hxv2xbqwtXhVeB+Fdt9u19eOh9Pj4aGD3ExaI2pn/1Wpl14pQnteR5efeFovF00/Gb+NosN1guy5sP0kvcJE+T3M8HtVut22iGVgtxN3j8djCCcKuwWBwRb6Px2OrVsGKYdVZcCwpiQY0cKPRyCxkkiSmZyTjOBwO1W63rcLm5uZGh8PBrDpeBplqNoVPgBMuEIr5RPxms1FRFBqPxxbySBdO6HA4WGkj4GYO4fTIdO/3e63Xa4VhaGLtoijs3nkNGd7D4aBOp2MaQb8yyn948DkI4s/ns3q9nom/CeH2+715UZIsGYPX1Wq1tFwujdvzeTy8EjhA31M8nU6azWaW8KC0lev+WJrzKUeD7QbbdWH7yYcuPEa321Wn0zEdHjIVPzTzkw4IuW9uboyEZqIhsbF+WFxIc5+3ArT7/d4qbc7ns8l94FqwNkmSaDKZWMYWjSKfE8fxVaiANcJCMqk+B+acu7KOkowDGgwGZiHZsMhPINLZPCQ1AI2fRfbr26nb5nOwpiQb+CzuhfuGZ4S7woPAMwJYvAbQ4VWx6Xl4+PMBoH3ZDxs1z3NLaOx2O+PkoijSbDazTeNvxiAIzKOqazTYbrBdF7afpBeyLDPSOo5ju6DhcGiTAo/F6yGi4TwkXQmLASShFjKb29tbjUYjs1AARKoyqGF4qW/HUwBsAAWQkxzBO6HWvSgKrVarK76JUk3ClvP5bJPG+5GKACy8G8BIaIeMhDngNSRIOp2OcWhwfFTakJRA2kI2mYwpnB781el0suwsfBr3jkaRCiupCqXu7++NS2Tj8MAYjUaW+SWM9DWhPCz4TKqzKGclLJRkZbM+p4bshrAMb6Gu0WC7wXZd2H7yoQuHBGdxPB5tQniiw/0gCiYDCvfj82FcNKABLJJsUeGFfMnFer3Wer22RSiKQsvl0jKm3W7XyHnAgnaQrClyln6/b8kMQP/ixQsDjHQh0n2PhHCM5IVfGcS9+laebHKv19NkMrnycr7ZfYdhqM1mo+PxqPF4bHwUm0+6JH/8pACJBJp3QOxzf3hcp9NJt7e3tkkAkg8OvDrunbAqjmPzBkjWjMdj48IIv0+nkx4fH01Sg5eR55VAH4zgYXDNdYwG2w22+YxPje0n6YXJZCJJJgpHSC3JPpinOxcwHA4VhqH9oQGED7bdbmc3Q6XOaDQy60uZH5+Bbo8wD8vc6Vw6B6VpapUteAeEbIRYTHi73dbj46O95nQ6aTAYaL1e63w+W8kldd1+9pjOTlQr8XOSDVhiQjg/IVIUVQUSnozvRQBoEhDcE8000GASPuLBkE0m1CTRw+uYez6P8BDP4eXLlxbysfnKstR2u1W/37cWf2DhcDiYx0RYRSb59vZWi8XCwnZC4dFopPl8btn5OI6vdKR1jAbbDbbrwvaTD90sqypqcOfzPDeXnQwsIPHdbKpI4FTiONZ6vbZyOsISeBxE2dQv397eKkkS5Xlu72MxyXgCUq6LShEsOdaw3W6r3W7rfD5byJVlmW5ubr5BCO736GSxz+fzVR/Nfr9vE86/SXKwCXyxtK8R5DsASLvdtsTBcDi0zff+/XuNx2ML2fwECtn2+/t786ioBOp0OoqiyMocCXO4DvSQlHcyF4RRrA3ZfB4CZINJLtE8xQ8lSXqMRqOrAoAkSbTdbi3ZgUcDX1bXaLDdYLsubD8rGdtsNgZEMqLcNE0ymAi0fY+Pj1dkMnwYejasB3ITPxzh3/wOmYmvy/MrgXgtBDebhdcBjDiOrTEFjTMIHWnhB1h6vZ5Wq5VWq5WiqCrRJKnC58MNsWF8YNOow0/C4EWQFYZPojvSarWycOzu7s7CFrhGXzPZ6/V0d3enIAj0+eefmydCmHo6ncyKk4GNosjKRnlgAPrtdmtrRSKCjehLcgih/IIBuEiSDNT88wA7HA7mGeCh+ImXukaD7QbbdWH7SU8Xq4h1IyyB50GaIcksc7vd1u3trWkB8QRms5kBgkW8v783uQkT4k8MxDnSD0oCWSA8ESzRcDjUcrk0ryIMq/p5MsdMrHQRbaMNRILjXNVqj7APcAyHQ63Xa5tcwiksMlaTDLNzzqQwJE+Yq4eHB6veITyidjvLMuvvygZBA0ldNxxeFEWaz+f2YAAsaDhJcLBx+ExAeD6fLYERRZE2m415Cbzn8fHRsr6tVkvr9dp+Tv8AEjNJkmg0Ghk/mee5nW4gySp6CLnrHA22G2zXhe0nH7oArCxL41JYYMKHMAytsxBAobSOG26322ZRAYFU6QvhZrBoZEjn87lVqfgWndCMnqOAmTACQIxGI8tAYs1arZaFOXRiggcrisLCis1mY9dNaEfiAk4ryzJbWMJPPBmE7NLFw8FyUqWElfc9IaQ7hGR4UYPBQLvdTrPZTO1223jG0WikzWZjIOQ6scy8lvuHd2Iz+NwYnBoPHoBHM2c4S7pTkZnGI4NrJOwilCNsJRRnnv3wvY7RYLvBdl3YfhL1fps25DO3t7dW5gffQ1Y2ji9nC7Go6/XaJogRx7FxZHAyZEtbrZZevXplVgirC0HuC6/JJvJeSbZBfL6GhWCi/ATIcDhUnuemw6Nihrpxwko8m/1+f5V9BlQ0GUHrx4IABq4NjSHEPs1K8Ih4IJxOJ/V6Pb1+/doy6WVZWkhVlqVtcrwmwOe/ls307t27K5nOdru1DluEhgAHD4beqf4GZO39Ovskqbo7AcowvJRa3t/fK01Ta/oNbympVm+3wXaD7bqw/eRDF76CMIMPhWT2CX+qQSDTfV6L9xKSMIFYOL6DRUXC4ZcFYjkIf0iE0OIuDMMri0sdNU2kqchBW+dfC+WTJA8IS4IgMF3i7e3tVRaZhYdEZzH9PpxhWAms2QiETWS42dB+aEMmFbKeuUZnyKYbj8dKksSSKv4mC4LAjnnh+6m/T5JE6/XaPgcPinUiyeI3debzyMLjXbAp8e6QYEmX7Pz3fd/32YMDXo/3AdA6RoPtBtt1YfvJTAbE9Xa7VRiGduN0SSJzidXg9XAwcB9+1Q/eRavV0u3trXkD/E0Sg+Hr65jAwWBgZyCRKSb7iJdCZhGwYi25biYI60zGGo6GbOhwONRsNrNWc1lWnYjKvfE5vA+ejioaSSYX4r55LxuMxABVUlh/miMTLvI+hO58N2u1WCwUBJfDDxG6k3zxgYEHhofEwwJw+d4PGxO9JyGsVEmk8AQQ/3Mv/OF7yTbzOXUWRzTYbrBdF7af9HS3261Z97Istdls7IgNbjDPc719+9aOLsai+jo/LOxoNNLhcNBut7NMJXo8NHuHw0FRVDWh8BMUfB8Tgr7v9vZW9/f3Jv8ZDAZ23d1u1wTOgJsJYpHhZLhO/wjq0+lkfBreBFaX60cqAncmXQToZDsJyXjNZDJRGIamF2RTjkYjxXFs4ViSXA76Y/N+LF/BEksy3gpODa4PTo2QFQ4SeRNhFOJ2EgcI7rMss+8ipPW9PzgtPDKADQa4n+l0amWd/K6u0WC7wXZd2H7yoQto+BCyh0Fwacvmd91HL1gUhR4eHkySgsX2Xf8gCDQajexsJDgVSOiyLLVer625B6FUGIYm64AEHwwGWi6XZtX82nI2AfwY8hAyn61W60oEjb4OgTOSkzRNNZ/PLXyDsyrL0lr1MTabjQGR/8OV+bIc3kt4xMF5LCqeFHwilhbPC6D4gnDE21TaEPoSUvo6TJ/nwoL70qftdqvhcGjJIwAHVyZduLxOp2MJC7g+7oN5RIaEF0ApbB2jwXaD7bqw/eRDF4sCn0P5Hh+KBKYsL8dXQ6K/evVK79690/F4tOOiKZ27ubm5Ck8ACHKUPM+NcMcSYYX9TLCfiEiSxBYAMh+NHRo/wjkE6355JJuAMNLXQpLd9Yl+Fgoujbnh+uCLfD5Kqiw2mWW4LcTUZJX9JAmeAABHK8l8w51FUSUcn06n5rXw2YANQTqfz0bebrfmpeAJEDb58+tvPkDGPfmVPzwU0ErChZFNJplT50O3wXaD7bqw/SSnC9n++PhoIQETAxgBAnKR7XZ7VcYH10UY4lsl+CPpoo3zR6/XM4Bst1uTkBDqUIVD4mA6narX61mmFsL/9vbWwBKGlxNM0V7ibUhVSMkG8LOwcRzbz1l4khLSRVQdx7E1MeHe4HrSNL2S/OCpIPcZDAZGwCN0J8TDCvd6lwP4jsejWVkeFtvtVofDwSQvrAGhFp4dnhReAYJ8QA5/CX82Go2sLp9EERwc7fMAPWHf27dvLezluwm7O52OrUsdo8F2g+26sP3kQxfAleWlKxLA4knPRWMZp9OpEd7T6dRACdGOJSMUg485Ho82iYCH5AMg5SZpyLHdbjWdTi2E4XqwlCwGVhowchpAnl86IQ2HQ8tyns9nKwEEdIQ7yHII/XwrSQUSHBJcGrwexD4CcbwRLHmWVZ2vCGMJl/xML/pNQi14JvSDPt+F9AUwsHkID/ECON4aoTiSIDrw48UR/rG+cI9sbu6JMB0OlHCcayRz7ydLPvVosN1guy5sP/nQZbHQpkkyC8dikQkEONwEcg/0c4Rrvvibzy2KQjc3N7awaCFJbmDF4zg27R+A9T0V6XKgYLfbVbfbNVkMlg4yviiKq4UFUL6om98BCMookbOQTSYLyr0DADYQYCaDSriJlUfqArix9r4n4j8out2uNclmfjqdjnW7IrQizCQ7jzeBR9BqtSwhQsjVbrdNm+jXxuPhYck5gqbdbhuwCRXX67Vl1UejkV69enW1yUk+wTHWMRpsN9iuC9tPcrp+qMRRHlhohMtYTX8xKVf0NXyDwUDv3r0zK4K2DZE4G4HFhrcCxBD7hGBYG7KefjVLGIZGgPf7fZVlqfl8bvKgPM+tv2lZVlUudBiKosuxLEVRWPjkS0bQeHa7XSufZEO1WpdaemQrbDC/8sUn5uHVyAqT5SVMA3iEN3gYcRwbp8dn8zmEn4TRSGE4PZVrY3NQzeTLkFinsiwtbMXbIDnBA8lfVzYDSQceBPv93vrVLhYLW/c6RoPtBtt1YfsL9V54/fq1TY4kI/UBALIQLBdHVqCPo3pkPp+bdIMbAABYUBaErkNSRVxTQUNIQMYXL2A4HEqShURsHD6Djk7wOoATL4BFJeFBhpl7IjwjIwqX4x8NwmJhPX2wkIjhuwhNWWQ8E0IvQEWbPuaT8I5qGsJarofvJrzls7h2jnU5Ho+aTqeWSKCaB+8sSRJbN0maz+f23larZetFNpskEXwZgOV+ttut5vO5eWeTyeQqefGpR4PtBtt1YfvJh67fCYiJyvPc+IvZbGYLiCueZZkdgOcTzUwsVR4ADO6EsjsyyXBE/ByuiTCHz/K1dwADa0vGNk1Tmwg/lNjv91eaS7gfQp7ZbGabhZDk456hXD8/4xp8kj+KIt3f3xvXBwB5LZwXfB+hVpqmms1mFgZ1u13rE8A8+tU3QRDY/bOh4SmRRLFReQAQiiHdYb6LotIrwteRbNntduax4C3BO/qt/BCiU1aJTIcsO3rVukaD7QbbdWH7yYcuJ53u93vt9/srkTiT0O12dXt7q+12a8dyEB6xYICUUA3JCYD35TTT6VSr1UpJkpgOklDufD6bPo/FhUvCI7m9vVUYhvY7eDrCDbSInEsF7wS3RfaTMI/kAxPrc1J8Nx6NdOmExMYhtAG0kPWAwjlnYSUyltFoZKEdXkYcx+aFYXXb7fZVEgNOiTUAUHTjJ9z1q3h4HSHbcrk0i09YRXY6yzILoXzN6Ol0Mq+l3W6bVvF8PttR4b1ez7xEH/x1jQbbDbbrwvaTD11uGJE17nwcVw1CDoeDTSpWibI/AIUsg3CCCwvDUOv12qptyPqNRiOzduv1Wre3t1ddggj9kHL4HJwvL4GDwqLRYQhPQroczAdf5guny7LUaDQygPl1+qPRyD6Pa4B490GBcLwsS9tkZH2x1CwO4QiAgafDg+EeSQQQ9rXbbe12OwPvYDCwNn7MAaEu188Dx89Os5Gp6CnL0sI45D9sdB4okiwMZlP7G5KHD/fAutP42W+H+KlHg+0G23Vh+8mHLhYGDorMHIvIwlBKSfaR+ur9fq/5fG56RrrxsHicAZUkiYmsASFyD0IVuJk0Ta1DlJ+o2G63ZrWwYIjcAX9Zlle14H7rPe6Jhh0Q8HBsPjEPOAhTCOn4bhaBDQxgfC8DDSIcEZ9NxpqMsq/JJPmAlXfO6eHhwbLjAIz5g0uTZGCNoqrmPk1TrVYrq8ph7chKs+G4Bzwpwkvp0g0K74FDDuFAmXN0rOgywdPH2tVPORpsN9iuC9tPSsbgdOA5JpOJdY5ncnxPAfcfKc3Dw4OFFnBEo9HIXHcs0Xw+12g0sqwwWUYskL9oTAxhFjdI9hPxMqHJ/f39lYQFS4tWkppwwIEHxPXizVCyiXUfDoeaTCbG8wBOv1kH/CBJhjRNrUMU4R2LBAAnk4md6oqF9j2BoihMaH44HDQYDEziQ6ID8GGJqWjimrg+GmATQgIiGpCQBCKbjQbSDzGn06n1ESDcxBskTPMfINPp1BIYeBR1jAbbDbbrwvazZ6QxYXAZSCnwBiSZgByynMn87LPPJMlCDklGhANWSdYwGg1imqa6u7u7qq6Bh8HzwFM4HA4WZmCVOIQPL8Qn2CVZHT3X3O/3tV6vzaJTVhjHVed46uq5RpovE9LBfwE2LDDcHYJwZESAAs0fJD333ul0rImzn5hgs6xWK02nU7PEkuz+6eAEeJiTu7s7xXF1PDjd7X2Acr2Am/UJgsCqdfgd2V0SLFQP4XXBiZI8QgokyUTr/gapYzTYbrBdF7affOiyGGRDpUoOkWWZZTxJRqDVg2xGN4hLD6gl2cXy+cfjUW/fvtVoNDILdT6fLUxDnkNViq+f9JMWZVl1iyIhEQSB5vO5VquVeS+AjYSFf4yHdKmXh6uBK8JiE6rRRYkMOBuHRAI17ufz+SpsI1nBhkuSy0F3bBxCIOaI7PXhcNBkMjEu0E+2+NU5lF7Cv3GvSGvgyrhuAOODj0FSBG+LzDzzezqdtFgsrNwUyQ08J3OK90DhAQ+sukaD7QbbdWH72fNSeLOveQuCqrsPPBiEPhYaGUxZllqtVqZh5AIp9yPzR0aYqhNCL/gtvA8ASEkfPIok42cIBZhcKl8oc+R1iOH5w/lPAP1joToEOmHccDg0sp7wDeByj2xIrvHj7C4JCDwsNhueChVCfnhGJhyQApD9fq/lcnlVaQTHR1iJBIa1wGshyYCFRq5D6Mq9M/94Lnh4eB5cF3PEfGy3W7tuQjk8pzpHg+0G23Vg+9mKNHpytlotq6KRKk+BLwYAvI4LlaS7uztzx7MsM54IETdhAtYWiQZNKA6Hg4qiKnEcj8fa7/fGLQVBYMmKj5tD8x4mlowoEytVFpD+n845qwJyztkmYVEAKR4M/B4NOFhg7pVriOPYrs3PnO52O93e3toxH2gd5/O5XS+W3j8EkMYoCNfZwHEc25lPrB3drKIoMmmQdPHK4Aax1Fjr8/lsfCCDBAxeGV5Rq9UyXotWgWCEhAlru91urTMXVUh1jQbbDbYZnxrbz/bT5QLI0PFlZEIJEZg4LOF6vbau+7yOBS7L0sIbLObpdLoSP0P4Y9WQ4eBJUA+N9cYCcn3tdtuSEFSQcG4Sno0kC6E4sqMsS5v48/ms29tbs7BwOvv9Xr1ez8KsPL+UU3Y6HeOx2EB4JmzaMAxNbI+QejKZ2GYG0CRS0Edyr3g0WZap3+9bIxEGgKImH/DDh5HM4fP5TEJmP7HDQ4QQlcwxYTL3AGhJ4LBObHA2znK5tGwxSac6RoPtBtt1YfvZ1o5wPMhpJBmRD1i5Mcjq5XJ5laTAOhDKkBEm69pqtTSdTq8+zw/ZJBnHxuRkWWZE/WazMZD7Ft2X+NCeD8vc7XZ1d3dnC8jCEvoABKQfhIDwfcwP2kw+l0QIVp/sKZYPoT3hC9fu80IkWeDLyLxy3zTloA48yzItl0sLg0iUwJ/hNSBFwkKzAbkeXtvtdu0zCAvJnrOxeYgkSaLFYqF3796ZF8jn4jXhbUlVJRSJkTrphQbbDbbrwvaTD12IaGQc3PR4PLZsJzo/+BcWdrVaGSFOxi8MQ/MsmHRAT1aVEATAEDL5CYvRaGQljywoJDhh0OFwULvdvgqx4jg24PqhGB7M+Xy2BSvL0jKzaPQAPAuGx4IVhc85Ho+WxICno/IIzo4FJFPMPfiSHO4R3aJUhbRwWIShvV5P8/ncLDAloIPB4Mojk2Rh3Xg8tswtSRGARw05vCSbHhDDacKXwSeyPnBtNJ0GR3CMbEDuqY7RYLvBdl3YfpJewO0mZOECnXM20XgMWA08AxpVABypKr18eHhQGIbWj/R8Pl8d5cEE8jk0jubzILnJypJlJBxJ09SIcbwXrht+ieORseZ0eaKPJ/fN50dRpIeHBwOJVHk2ABKtIt8vXXqkklSBM8Sr8L0OvhcrS0eoPM+tLBXvBIE9IWQQVCWHhJdwazRRybLM9Ip4B4SEbFgeGDxAxuOxDoeDvZ8MP5uAjYvWFT0ljVd868+6I20CE3Un0RpsN9iuC9tf6LgeeBqsLc0dkFBw42Rrff7HDyGyrDrOIk1T3d/fazqd2v8Jdeg6lGWZ5vO5hUFBEJi1AmBsEBYD64j19Ms44c7u7u7MYyAsotGHn9nEEpLIYKMQxhHSAHgWqSxLE4ljBfEeqFjiiGnKL7kGNIV4GWx0FtSXsgCY3W5nm2S73drG9Zs2U02ELAaOkc0AIA+Hg1UN+eGcXxcP0BaLhXkmFAZwXYDuYy8Hj49wjk1cx2iw3WC7Lmw/+dDFXX98fLTsa6/XuzqQzz/GmAvC1cbqEnKRyWUyEB3HcWzlfVgduCiygywQGkLK+sKwqlVHowdfFsex7u/vjSxnoqIosmYa6Or4DJpYQPzD5fFvwivKJpHEkB319Y9sGjY3ukf4Q6wlmw5hOqS/r49kcI9slCRJrF1dWZYWUuJJ8G/CV66LSiGsNh4BDxWuDw+MOUN7OZvNzNuRZN4Q5aB4eZRtEjLihfCAw0OoYzTYbrBdF7aflYxxwUw8k3E+n63L++FwsFNICXewJGT/siy70u35YQ+boN/vW9cgsphcx+FwMJ6Gmz6fzzYZXAOgzfOqqxMhTa/XuwIegIez83ksf2OipfTr2SnR9F/PRiUs497wTGiIArg7nY5ZbN7vh5QAb7PZaDKZmLyI6wGIftYc8HMvgIGqH7gtMveE1QjUi6LQaDSyrD2vybLMuD8O3iMk5J4lWfkplUf0EiCx4HtpSHrqGg22G2zXhe0nE2mUJZKpbbfbxrFwc2Q00TwyecheqE7hZplg+plC8DvntFqt7NgNOBqywzRyJlyAO0rT1MoRqclGtkOYyKRJl/CGyiLpIq0BSOgesfRY9cfHR+12O/te9IxsXhZgu92al8RrWXw/u0kYGIaXFoDwU3hNyG/gzpAOMfe8HnCjOcV7kS4CbzZMURQGGOQwbELWFc7Oz+5Kuqq/T9PUykgJ577Zw43PRXfZ6/VMi1nXaLDdYLsubD/p6WKhfFedZsMsMnwPQCILCPHNBAZBJfamoztZRAAGgU2nITwLwPmxZo5qIX9B/CwjpL5fckmoxpn3gBBwwBH55Z6c6tnpVK388FDwLsgM0zWp0+lYOSkhinPOwlcqd+AKJVnzFCQneDyEjrvdzjLYhEaEgSR2yJKzTiRkyMaSMUa7iOwpCALjttI0NTkMVp71RvrDvyUZx0YCyZcjLZdLjUYj27BsKACKLKuu0WC7wXZd2H42kYZ+jgmOosjK6kgwEIZMp1P7+X6/13g8Nj0fnwdQiqIwcEHsI3BGqkJIhSTHt4CSrrg0NJf+YYF+4oESPbK3WFgG5DehGaAkQ91qtWxRWGTuA5kRHJGkq8knG84cspnu7++N85tOp9rv98rzXG/fvr1KYuR5VYJI8gUrLulqPqSL1wOPCI+FyF+SVQERghI24vURqvkZYdaHjYs8itAO/o5ruru7s41LxRUyLOnSrrCu0WC7wXZd2H62ny7c1X6/1/F4tGbMPMmp9eb/cCztdttq2Klb92UjWEU8iF6vZ518mABCmdevX1s2sCgKTadTyy5TCggYy/LSB5MJJ/OIaJ2jOeC8WFhCIzYWoQdt/ajGAdRJktg98Fl4HIjI+WxAz6bLssySMchgABaZ3dVqZQ1A0FXysMA6Hw4H64hPnwA8G9YEr4ANQ6YV60xTD9ZiPp9byIyUh8YvhKb+HPkSGSqqyDKTLefaWQs2dl2jwXaD7bqw/eRDd7VaaTQamdXwM4r0l+SicLFJDBAmYGUkabFYmDwlDEOrP4ergoxH1zgajSwT64cVWBl4E3gypDVo6x4eHiwTDBHebre1Wq2saxCTw8JmWaZ3795ZGAUgJFnygpATjR9eANdOVhgei27yhDiABD6qKAqrs/cTNLPZzIDkexn+v7k/n+SXZED3kx+ER77YnRCMkGs6ndrPSVjQVAVuzs8Y44kRirM+fL6fVCIDzlrVyek22G6wXRe2n6UXJF1V1ZDtxJoCIqphVquVWUjABL8CR0MYQgiGhcSN7/V6VisOtyVdV/HA4XAEB4uJJ+CXE/pVRMPh0LrL4x2QDUacPZlMLCSjnR7cFVaUjC3XyYRjhQmRfI6LjCubiqwx80VYA5DQVSJjAsjwWHwmCQJAy2vzPLcep+gmuUZCUTg/HizcI59JwxFfy8jGIEnCd6DH9DPwJF9ISHAUebdbHfFd12iw3WC7Lmw/+dAdDAZ6eHiwjj6SrOYb4CLNQFjuZxhZeCaE1mhMBO49hDhApsyREk34NsDi6wb9aiJIbbKbyEGcc/YzX7RM+JCmqYUVWGQ2FNlQv1yz1WqZXhC+rSgKy3L71hQeCbAxb/BZvmDdb4zCtREC+lId5ptQhs5GhHlwiyQ8mD82SVmWms/nlnHPsqpHAJ7P+XzW+/fvbb15HxtusViYN5XnuTabjSVdSGL4Wkk6RFEHn+dVo5aXL18+Bb9v62iw3WC7Lmw/28T85ubGJosMKMCi9A+3nMoeSfak55TVOI4tGcHJowAFy8l3INs5nU7a7Xaaz+c6n8/abDYaj8cmf5nP5wZqv94Z8OE5kBWVZLpHwhW+R5KBA16MDDYSILSWeB4I67lPwAxI+DfeCprKLMsMaL5Qns3mJ3iQ3hDy8jr+zQMAL4i1wkOLosi69ANwEjp4MH4NeppW50uhkyTTTuNuQj6SN2SkASaYyPPcNhgb3Peq2u12rZ5ug+0G23Vh+9neC51OxyYMy+7c5YhleDBOB4X7gqwmGbDb7YwnwRJh3ZkYFkWSSXNIKjjnTPjNQs1mMwMgP4uiqlzRvz7nnC1CkiSmD9zv91fn3LOp8EaYUMhzODhA44eD8D+IzAEwcwIxj2X2N/hisdBsNjOgkXxhDsgw4wnBP/leBevD/PntAXu9nmlMpSrs8nWKzHdZlnr//r15VACYjTybzdRut3V3d6f1eq3VaqXxeKw3b97Y9fPwYc4Jt6hIoo4eXqyu0WC7wXZd2H725AhCEiyDJHPvCTmwwvAmWVZV3QAKeBrCM0IDwgdJpvWjqobQBV6KhVgul5rP55JknYzSNLVsbJIktqGwvmgpASehDgfyETIACnSCfggJyHxpEFldXodnA5DwVMIwtE74fjaZEAaPiYYlfiUQoSnJAz8L7a8FC+97H/BigDfLMvsZng9JDvi0u7s77XY7rddrE637iRiOSun3+8Z1soYki8IwtBNheWjwMPJPtq17NNhusF0Htp90NdC2YTXIJEoyL+FjYNJpHSABbk71PB6PWiwWxn08PDyYdcVzCIKqPRsVMdw4E89mIXML8CVZOMh1bTYbWxQ+L45jCxfhc7hWspno7vwqIACJJcMyk9mUZBvETxgAIBYjSRIDDIvOZvI9KWQuJAb8kKvX62m9XmuxWFjHerpYURJ6Op3MgwHISGRYQ+4LT4OEzM3NjSUR8OII206nk1ar1VX5I14VYdhwODSvAk+Nhxkeo59I+tSjwXaDbe7pU2P7SU8XICZJ1dpts9lYWMBFIK3xJTZYIjixMAz14sUL42vIAuLWAxBCCxIX7XbbbozKEt/awa8QfviZY8Ib3H08FSw+lo5kBGECC8ZnEH455+yEUz7D59p4PR4KXpAfAvl8FB6JT8qz2QnnAAX3iHcxGAy03+/Nc8BL8R8orBthGt6Vn2n2HwZ4eswlmkXA+rH3wtqgc+V7uRa8jeVyeXUdgLwsS3sg1TEabDfYrgvbT3q68DrSpRqEzkbOuSvBN1/iL9Rut7OwhJBmuVxaMoGOR7yn1WqZ9e71etput9rtdloul/b5q9XKJpaNkGWZ6enoGET2F7DhUcBlrddrS1rAR02nU7t2MpfIV8qy6neKbpKNgQXHA/DlQFhDJEBsDF+zSRIA688m4LP5DL7XuUrPOZvNFASBaSTpyE9ixDlnSQxf3iTJGj/jjfBzSdYfgO/5uNY9jmPzwHx+D4+Lh9XxeLw6SZdrITzjYVPXaLDdYLsubD/p6fqSliiKTNfmu+486ckCUqqYZZnev3+vFy9eGDAJawA8CwGP45zTbDbTbrezfqQAkqznbDYzATthF59PQuDly5dX8pY0TW2xoijScDjU8XjU/f29hQRSRdB/nJHE6pE5pSlzFEUmis7z3BorE1aQUIA3u7m5sewylpJKFkl2fciO2KzwUXCJ8IeEPVyr7z34YSJzy79JfhA+MUjUAD7mEo8FLpC1IKnD5xJGcl9wkXzfbrczDSn8G2FrHaPBdoPturD9LL1Acwos7mazURiGBgh0cGl6OWrk8fHRhM98DrXnkowvA4z0wNzv9yaWRnxM1pTwgSoYLCQ9QLFqWD0WBkvpW300hC9fvrSwb71emwUECPBMWH/uBU0h90+Yh8fknDN9o9+4Gi8Fq+hzaSQNuEe0jGw49I7wcB/Xq/Pa9XptGWvei/eBJ8Ic4o34m0iS6SGZLzK9hNO+bhWtJ2EevxuNRnKuahjCdxO+ttttkyHVNRpsN9iuC9vPngZMiMGhdbPZzITA5/Pl6GMsKq51p3M5WA7w+rIOeBwywTTEYEL4XEAuXZoWz2YzAy4cDDfd6/VMK0foRCYSy0z1D5M9GAysntznoaj1fnx8NK8BC8hi0g+UzbHb7QwszGEYht+QLUZO5NeTw2EhR+I+SQBwD1hisqV4Llhp7pE55HqwviRP/I1IptcHMOuFVjQIAgO5dCkgoOsWHgMbTJKtMR4K3g2btK7RYLvBNq//1Nh+ktPFajNhWZaZ3AJJCu454Qeewul00uFwsEniwtfrtfK8OvSNphin08nOIHLOmfsOUY+VQ7RcltWxIJPJxBpV0NGJ8k0/EYIFDMPQJgwpCVwSoQFWPggCzedz46sQaAM0pCUIzvGWkJsQTmHdEaQTvsZxrM1mY5U5zCNzTSkhfJp0OSJFugjzOY2ABip4G4RRhMwAjAcAoSJzgxQIThNZEtczHo+vHi5BEFiyheQSfCGj3W7b+iVJouVyaQ8U5rqu0WC7wXZd2H7S0yUMQZLSal0af7RarSuxMBeENcK6QHrDTXFCKCFHWVZ9RrH00nVT5izLrD9omqY2CRDbSZJoNBpZVhLPA7DRbg2PwueAkNTAySFtoUKGRQ2CwCz+aDQya8nPaCeHNaYSxy8njKLIPBW+1xbhwz2xGZGlkBXlnvyyUukiEicp4XNczJ/v9YThpS8oEhnAOplM7L74HOYbL8Ef8Ft8H6EVySfWCI/F12SSGOLcrDpGg+0G23Vh+1n1gs/RQJTDbfhJAiwkoZef6cXiEPpgveDQ2u22WVT4KxYeq81CBkFgC7JarQxYcENU/oRhaEkBeDs2mySTuGCpACNhG2FCv9/X3d2dNXwmm+knTuC2yrK0kAoynVCDZip+KAJQuSYspS/qTpLEQi7nnG0q5tHPvvJQwGvwq6Z4b6vVuvJw4DV9LnK/3+vdu3f2uX5FEBIkHlTcPxuQ2nay8hQZcB1cN15mXaPBdoNtqR5sP1uH6WftgiDQw8OD/Y4MZ1mWxjOladUrFD4Jy0d2D1IeboqJ3G63llCgK5Ikjcdj63qE5Xp8fFRRFHaUCZbwY2IdIrwoCut7SkKE1/iA4PuRgUgymc9wODTeh1CJjercpf59NpvZot3f31vTDRInLA6bfTAYWCkic3E+n+3oFBIvYRgauY91RtdJWMmc8TeaU3+94BsJo6VLMQAZ5+FwqPF4fJVdxltjUxRFVUI6GAwsBCeD/PLly2/Y6EVRldPCaSJ2r3M02G6wXQe2n5WMERbw9G61WpbRw+3G2vB7whCIbMIbjqQGNIQATAqcEGV/ZDUJxfK8ajdHCeVqtbLvJaEQhqFlgJF1+JnaJEmusq5sKuQ9WFQmdTKZ2JEqgI97w1IPBgNtt1tNJhMLJwlnXr58qSAIzBNCY4lGEM+FeyLsYwGZbwTjXN/hcDAvCI/qcDjYgwTBvL8ZfMH2drvVeDzWzc2NAZkEhh+qsT6USDKHJIyKotC7d+/04sULu1bkT8yZH1rD/bHh6hoNthts14XtJz1dLCLhFNYby4gkxXflCR1w15kUnxeBlE/T1BolI0wnHOBnJBFIKHA9yG2ky8mufngFCHwh+W63sxNZaSNHBlq6Fsz7mkLulwRCp1Odg1UUhRaLhXa7nXF7ZGIl6Stf+YparZYlBABav983S73f720zYZV9Qh9uCW4P/g5Q03qO35Gc8Ktj2ChIcuCzWCfCMQDugwZxOx4Zh/6RyJAqD+h0OllhAGsNX+h7Q/x/uVyaF1PHaLDdYLsubD/p6R4OB7M2/IF8l3RFnvtkNPo36ULu8zfWjIXnD5wM2kQyjMvl0mre+WwyuFTZAAQqRLBWhBCESGROqaVmQVkMmk6329UxKByBDUjYrEmSaD6fWwjqN9eAhyOZwQaD9CfcRGLDmVxU+7DYPpG/Wq10d3dnG0O6HFCIpKUsS/NSCM+4Dqw0g7DITxxh6Z1zevv2rTVb4eHEHLdaLS2XS2u24idrsiwzfg0JEFl0xO6UyJJ0qms02G6wXRe2n3zoEirQdILz3CH+CaMAHqT0eDzWZrMxbRsLxHtWq5UlGPyBdAVpDIvNJoA3A6RkiQEZnBCEOK/BSrJY6P4AJZYSkh4wYx3JJtNvkyRCnle6Tb8G26/QGQwGV7IkNiwniRI+wgPhLUmX47TLsmrKzGtJnPjfD/92e3tr3g7ehi8MZ6ChJEPOmrKGL168MJ6N31MWSwKhLEu9efPGBP+UT8Zx1eIOmRXWn7kAjAj96xoNthts14XtJx+6lCUSPpDBwyLStQiXn4lA8IzVhj/zCXVfG4iLzkRAoJME4HXSJUPLTRHi8Vpeg4Vcr9eaz+dmtbIssxMCuAc8Et6P/AcLy3UnSdVaj03DPY1GIwthJFmLP+6Fa3Kuqg66ubmxRIifHGETYznhCLG6nU5H2+3WvoPrIonAXOHxkFTgfgB0GIZ2f3y/dH0WGKHg+XzWarWy++UBkKap4WM0GhnHydqjDWWTIxXCI+Q+6xoNthts14XtJx+6uNEkA9DxSbJFhMzHY0AKwt+Q0wCpLKsqmul0alYE60Wiwr95SHncfkDHwXZ+nTfkN8Bwzun29tYmnrDPD/OYPEIeQIDWj+9nkbhGwgjkM7SK436jKDLdHj+XZJ4CMhbCWHg6+Czux9+YYRha5pXkDMOvvoF7IgTys/A+/8ScYLUR/FOrzveyNqyLf314UDwI/M/GU/R5SbDhP2TqGA22G2zXhe1ny4AJieI4NnHw6XQy6QtNPMiwAmBEz7TLI/kQBFW1x2az0c3Njd2wL2rmpgeDgX0m/UL5d5ZlRuLjKUiykA0ROSHZ4+PjlRWGH2IBef1qtdKLFy8UBFXZ42azsY5RaCOzLLOTZP0MsZ+xBsx+coBwES+CBA0JiiAIrJY+jmPd3t5aWOlzWIAdT2U8HhsAeD1zUBSFhUxFUVUPUS0F3weQ4Mt4KLFxABBhrO+t+ffG/SNhiqLqjK3j8WgnsQLgj0X0n3o02G6wXRe2v1DDGy7WOWduvSST0/hcmJ8NLsvSQNrv961ckCwk4V0QBFqv11et9fxjL4KgEpz73fCxYpzlhGX3QxrKDZGJYKXhxJCdYJH5nPP5fNVblcnHCuIBlWWpm5sb45WYH0I8ssF4F4SBzB0hDF4ImWyyzngJhCzcC6EwYJJkm/RwONgcUi2DLAaPgjCLv6fTqR1pAjeHV0Foy1xj0Qlb/Wthk+PZ5HlVEktmHs8JsXmdWt0G2w2268L2kw/d6XRqGjaAx8XjXjMBflKBhQAg/IxwhpuimoOjprfbrXFqvAbreHd3Z9YEKwWHJulqsn1dpS8rATxIS/AC/A3S7XY1Ho/N+wEYhGx+VhqrjIX+6le/qvV6rd1upyRJNJvNLCxst9smSUG3CBdEp6kwDLVYLOzz2MhcB7pKNjdgYBPB8a3Xa8scc9ghOlJfjxnHsQGPz0vT1EpguT44sOFweNUIJgyr7lmctMo6wEX6vCDeIPPPn7pGg+0G23Vh+1n1AtYV4p1J4oPp0IMFwIIwabjmhGRYQ7gVrGyWZSZn6fV6Zt18iYbvaaDBI6RyzhnQEHWXZXkl3wAg/JvJ4jOZTN+LIbmALtKvBd/v9zYnhB3SpfsQddrMC3N0Pp/tfrfbrX0uB9uxyZg/ODQqY87ns7bbrVlxssTId7h2gIa3ARfpb0g8PoBWlqXevn1rR1/DFbIhyJCfTid74PgeAjgJw9DCT0n24EIOVCefKzXYbrBdH7affOguFgsNh0MdDgcDJy42xDsX0G63dX9/b6easjA+2c4CwY9A2qdpagvKYnKTfuIB7skn0Vk8wqVOp2OWDpAjnwHsSFzwLgjj+F6AQgjFtbKpaEmHZKfT6RhAkLrwWvgjrO7hcFAYhiZm7/f7Go/HV/fMJuR74ZCYD0JawAAfyWITilIB5W8yNrrvzbERDoeDhUW73c4OUcSLYOMgnicRArd4OBzs93hO4IRGzzxAOEm1rtFgu8F2Xdh+tgyYOmlcbyzB/f29Xr16ZQtAKEVygFBNkk0eACBM2m63ll2E12HCAJEfamBJsOR8FrXWADaKIqvKQTPnW/71em2d+/EUzuezcTvoN2nhR+9PSUba8/rRaGQbEMsIgQ+okyQxrwgwTyYT44BYrP1+r7u7O/M0yLIiv+F1zG1ZlgYCHyB4AGx2PDQ2wuPjo4GOTdxut02M7mfLCdPIzC6XS0uu4FX41VuSriRR/Jz157PTNLWkSB2jwXaD7bqw/eRDl4xjr9czXuZ0Oul4POrm5saaWVBvTOYQYj9NUyOoEZPDhZAl5uaDILCa6DzPLaSBc+E18F7SdachJo+J4fvYVHSTJ3xbrVbGd3H9/PE5MUBLKAKRT3ORzz//3DoyYV33+73a7bY2m43dE5uV+4UXZC46nY56versLEAOqCH+scqEpNw7YOUBAH+Hp0QYzZzgrfjidRIFeGbMLxpKQkEeEpvNxuaA9aXCB76SpAVVSXgRhLRwcHWMBtsNtuvC9rOc7seLhoV+fHy0YyuwvNSakxVmwpHlEEJgNQERYIOTkmTNNXwuxZ80FoDv2W63loTgGuI41na7tVCMrCkeBZbJOWdaRKQ7XGu/37frWC6XtjhkW33NIFYwyzIr48RTAOQsPkkXNh5yIT8kJTnhL6AfxmVZZmEMDTf8cDFNUzvMj2wyjVdIMIRhaN4Yc8E9EiLDYwF0Qi8/jJVk681DjWQCns7j4+PV7+vkdRtsN9iuC9tfqDhitVpJ0hXXhdTF56parerEUzgPADabzWyhseqvXr0yIJ9OJwsxfEkIiQRf2kPGmcXk33gtvI5wxJd6wLe0220tl0t99atftYXCAyB0abVaxrFR9jkYDCzjDJeWJMlVCNZuV2dmvX//3qpUsM5wWgCqLEvrsI+lJhnRarXsrCiy1WgVW63W1ebHonPf/O13QWL4WWbWCME9oZUfLgJMmp6Q+ab0kbWP41j39/d6/fq1hWu+9xAEgXF1lHPWORpsN9iuC9tPPnT5ICwlvBWTjTWAL8mySxd+XP4oivTw8KCiKIxzkWShBNKM2Wxmr6e8EoBDhNNfFJABoiiKjMdZr9eazWaSqn6h9D1l8slGT6dTAyqWi5CTmnTIdQh66SLLYdPm+aXLPvKYOK7KAAmner2elRv6WWa/VJMTBbDgAEuS8YOAhYcG88+m5+e8hiysz2Nhzdl0PBSQAQE+PCpJli33M/twWr53cXt7a9lvP8vLGgJS5DXwkHWMBtsNtqV6sP3kQxdrgeCbhfHDIhaRMIyMKdwGomwkNbj+8C/8LkmqFnVYJHSKeZ5bzbNfu56m6VUGGSvN4ksyC0l2VJLJcVgYNJX+YpRleRX2QKj7nB0ZbEI6PgOvglAOrwQLDpi5N3g+uDDAyucVRWHXst/vryp0siyzjcX1+Wt3Pp91OBysdR7gRtyPHCbPcxP4w69RMVWWpT2QuG7m2p9PgEeYhXaTjeD3DyiKwprM1DUabMvuv8H2p8X2s+oFyGYmOcuqJr5hWHXMv7+/N36o1+sZUN++favb21vjTuI4No8B64q1kWQ8kHQ5boRKEjwPSWZtwzC8qgRCh4jl4ZrZTCw+3I4k8zLg4vh+LKyv4QM0WNI4jvX555/LOaf5fG4TDv/FAX5+Vhrr7Wc9uT6ab3Q6HfME2IAADi7Nn8fxeHylJ+X7/UQB8wXwyPTykCC0wxNjw9BRK47jq43lezA8sA6Hg5WzSrJ+AtwfGeter3fVKrCu0WC7wXZd2H7yoStVurjVamU80Ha7tS7uk8lEaZpamaNUhT3D4dBqqwkbyrI0KwJR7ktG0ECiCSS5QUjHhPggK4rCuiwBdv7g6mO18/xSLghvRaiHdZVk2Vr/uBI2KMDK81xf//rXFYah1cpTXonnQcIACxjHl7ZwZIo5EZUF4rNIWrDZ/CQNpZBIikhWSLK5HI/HBl4/SYM3w9xIlV6VckayuITCeAp8D5s2CAK9e/fOvIwoioz/hOtDW8p1TqdTOeeMl6uTWmA02G6wXQe2n3zoUj2DGx5FkfFHcGHwQrjpUpVggHPhVEysId4BkhGIakIIwjFei/wEDgyrBe8F+CHr4aVYXLwCdIVFUVhSgAWGE8J7gCjf7/e6vb29qnQhETCdTu29WEkWl7AIjSDhUhAEZpEHg4Emk4nxY4SsXBtghcdCs0h4S1LF14z6GsPz+XxVc88anE7VsdokCV6+fGnhNMkLScbZMUckKLIss0YpvNYvIUXgTqLCr2tnPnxpUV2jwXaD7bqw/eRD1+cluGgydVgtxMssBNwUQNnv95JkIRMEtVTxOK1WyxIPiKm5Ofg2SHLKFvEMmGxCqfP5bO3hWBwmFy8FWQrXBIgIdXwLVhSFcVt4EWyqdrttIPMrenwpEgkAn+9xzmm5XGq73WowGJgMqCiqtn37/f4bqlvYCGmaWgcsLD2hIpwW80ZWFi+IDQnoABOZZMJEwNLv968amrx580bT6dQ2EBvldDpdVQ/h7fkZfWrn8SDxUEiw1DEabDfYrgvbzybSII+jKLoSdfMzwhoyndwMi0f4xeJgockAS5fjlQEDNeVYdhYVK81GYKEBtX+zgAJvAoCTCCDkwpoOBgOrFEqSxI5yJiTjZNOiKLRerzUajbTf75UkibXHw1KzWfwQhg3barWs4xRWmOvb7/ffIBD3s8tktiH8scBUFwEOuDmy5AC2LEsDE+S/z/exrmEYGjd1Pp9t0/hJEuaQUNiXBOHFwe/5AnUOVux2u/aAqmM02G6wXRe2n+V0IbNZbKwcTYGxpH7mFWvM4lObzIIDMoCJdQJMWHzqnU+nqvkHXYWw9PBQdCLq9/umm8OjSJLEvBpfjoMUpt1u2+mjEOhkL4fDof3b74rEMR50nOe9AIBSSzaUc5ezr/yuRVw7x4XAVeV5btcGANjceAdk2n3rz30y71w3P0NrOp/PDUgMLLZ0yYz7zVb4jP1+bxlrQjw2EPwbvB8h48eSmizLviM43QbbDbbrwPaTJwNiifM81/39vUlKKAXEKpOVXK1WZmXIzErXJPfd3Z1ZJBbNl3j4PBIgg5PabDZmVQEJPBGyHAht3wOhft1f4DiOLZTBoiENAsTwRAjMoyi66uwEb4f1ZB4IN9icWEs2sf/5AIBsdp7nWi6XWq/X5smQHUcHyXX5FTSAEKvN97N+hHP+AwCPI8uqptm8fr/fX9WX4y3Ac5ElPx6P1lMAnpD7gr+czWZ2vDYVRFT/1DkabDfYrgvbz54c4ZP5gIxsI672x8JxQgBfW0ciAMuB+x3HsVlI+COaVfT7fUtuwPFgNZGAwKOhKVytViZO5nXoK7FYcDvoF9lghHc0ryCU8hMfJBN6vZ51UMqyS5UL3gWeCYtKIgEdJHzgw8ODXrx4oSyrqmbIziZJYg+ByWRiG4lEAxsK7whNKEQ+3KAf+jJHftcm7plML/dBQiEIAju7iqSML8PhusuytPO0CCf9+SQRggcRRZeTB+oYDbYbbNeF7Wd1uv7CIQQm0/n4+KjxeGwEPxNDCIE0xOdWWCAsHAuA5ceykqGFf+ImADvEOIJtNgeVRoRGWGBCKbgzwkquxed0CEGYVN5PaJckiQmg4Y5YfD87y+LkeSXQJmwFsGmamg4yCALjEFl8suOEkYQ4aBQ5Rhy+8ebmxoTnbCY4Mjyk/X5/1eSDZs5xHGuxWFhjD1+/ulwujasrisIO50OryO/ZmHCbURSZt0eYy0YH0HWNBtsNtuvC9rO9FyRdHcrHIj0+Pmo+n9siExqhWez3+xqNRhYawd/wOkhpZDm47xwHgnXG80jT1OrcuQZ+7oukCd2SJNG7d+90d3dX3eiHsA3ei9cTCnJthIuS7CRS2vpx7XSa8nWHJFDYzIi64XcIdfhONjwZVDwTsqVFUVjfT/SMgPzh4cF4PsIyQkXCWpIUvo6RjUlmmftJkqoLPx232AwAajKZmCzpfD4b0AGxH9r6onK8DjYqiRuuq86KtAbbDbbrwvazXcZw4Y/Hozqdjrnl8CFcJAtD9o5sK09+PASsBOHDZrMx8hqxth+iMZlYY6y6P+FYaKw5lh3AAgz/MECfw2HBwzDUdrvVZDKxjTkYDLRcLs0j4nrgrLB4WPE8v/QE9fV9RVFcaR3ZDFSxsFEJlaiAIgHAOiA1gh+jLBGvBJE9c48XQRLFueqAQkJMP7uNhcdqc8TM8Xi07v7b7VbdblfD4dAeID7I+XmWZVYZRLjOdfDA85Mdn3o02G6wXRe2n1UvMPkABgAh+sY602+UvpJYujiOraYaK7Berw0wZHux/lSxMDks2Gg0upLYdLtd2yBkPgGlJFtYKnP8hWAi/fuBy6FyhgWlbJFEAtntKKoqVZDiIEj370WSaTB9qREbgZAIYBOi4QmwuUgqsAHZtDc3N1ehL1IWwls8jcfHR/X7fdNr4uVwrfBaaBuPx6PxWKvVys75yvOqugqeDy0q94m+k/XiHsEDwnJ40TrpBUaD7QbbnxrbT6oX0jS1LKZPpBMySJUEBhEyLjXZPLKdWJowDLVer80bkGQk+WazMQIbwGGxsbSES5RTOue0WCzsXHtCIRaB8Mfv6AS42WxYbjwINhCeiQ+g/X5vIQZEPp/nC9vROx4OBz08PBioyZr6shosJha0KAoDa1EUdswz3ki/37dF5tpIPOCZcM9wW4R1bMjZbHbVS5X+qawb4WBZVt2VACKJgl6vZ5l1MtzT6VRxHF8dWLjb7bRarYzzYmOdTicTtdc1Gmw32K4L28+2doRglmR8EheNOJkJpzEE3FAURUayU1EzGo2s+kWS3rx5o5ubG71+/do60aMJHAwGdvO4+PA8WNhOp+oUTxMNLDkdiNAW4s0AsrIsjYdBzoJOkLp0LDQhEpUx/Jx7QTcpyTSMhIzMA02xg6A6kpvQJ0kSC00JV6bTqYWbzOvxeLTXE1rh2fiZauQseC5hGFpYBKcHQJgDZDidTsf0h85VjUqop1+v15bgmM1mxlP6onVkOy9fvrTKKD+kIxxnPuuUjTXYbrBdF7afPa4Hi8LiEnLR0Fm6ENlYXADgt0UjMQDxTFjx4sWLb5CasMDcMAvK+wEJfAwlmFi0OL4c4sd1E7JxPYRG8GaA3Q/nyNYS1qzX66vacEIQEg6+znA8HptlhluD86HU9ONsK/NAMgfvyP/c3W6nm5sbDYdD7XY74/H8zDBZ7sViobIsdXNzo06no81mY/MAJ+jLY9Cotttt4y+lyhsjxMYr4CGEJ+J3g3p8fNR+vzeejc3EPcB91jkabDfYlurB9pO/vb+/N/E11SEQ276mDasDp8PFYnGwRugUsSrD4dCI6/P5bKEHDUfSNDVdIItM6IFVw1MhzMDLIDSSZJlQrBHg9BMheC5IYaKoqmmPoki73c4sO5vwfD5fHeniX2MYVsefSDILSwLBD78APnKW6XRqXo+kq0QJIOl0OpaFzfPcODisK5bX95Ckiivs9/uWjaetX6vVsgQF3oQkyyIDtjRNLenCxscLyrLMkjTMpe8pMiesBQ+ZOhNpDbYbbNeF7ScfunTsYdEBnCTjiACaJMsCIlHxLS6TAOdBJyPCKjK0x+PR3oO1gX+L49jAURTFVdYU0CJJgYTn2phAQi3/dSw2Zy0FQWDlnUyoL6MJgsA2T1mW1lHJX2DfawCIHwvTO52O3r17Z6Ed2dMsuxy77TdZBqzwcpKMh4PzghdkA7IpsdaSzGNCg0ioRTkrUiUkSug5/bZ6WHj+oGWEqwQXg8FARVGYJpUN/s2OW/mUo8F2g+26sP3kQ5dJIPSBD5JknXiwXJvNRlLV8He/3+vm5sbACK+UJIlxN5DO/L4sSwsRuDHpcu4RYASEWDd+5ouf/VCPsBEg8nrAIF1KBpk8rB8H/9Fgmc0IwX46ncwb4PsIPwkV/c5Fg8HA/mazA7LRaKTz+WwZbbwnfs+mxuuAd0Mq5JeXwoN9HML6DxEsOlIa5tvP8pIk4jN9nSef4Xs3eAEI2n0xP2vGBmNz1jUabDfYrgvbz/bTBRB+uMVNRlFkZYOAh6QCXI5PfsP5EPog1Viv1+r3+yY6x0OgRdzj46MtmO+NnM9nW4TXr18bUJgIQEZyg0VmksmKHg4HvXjxwgBFQqEoCk2nU3U6HTs+hb/hyLCy/hHNiNPZCGEYmjQFj8Hn78jUbrdbO7ob/o0B6PzsM5uTRAMPCJIVXOd2u73yxgDT7e2tTqdLVybqx0n0cH94TMwn64OX4nuLeHh4ZswlnhyJE5IZdY0G2w2268K28/mhj8ev//W/voSn2G63KorCwhLCJjSBTLhPzBOyITXB6pM1LIriKoTwyWiyvb52EFEy4QZkti8iZyI48A4g+0eTdLvdq2uQKq+h3W7r/v7eqlh8vk66dCLyLT8JGRYEHou+oSQx4LOwmH6ml+QD8+eHtH5oijeCZpL7xvthDpEmIYkCxH4SBuuPt4IUiPVmTuC5nHNWfcXag4U8z7Xb7exaadLi3KW71Ol0svr1srwcKPin//SfrqXdWIPtBtt1YfvZFDLattFoZMJjxNXo41h4JiyOY02nU202G+OAIMGXy6WFcXmeW8IBy8Vr4ZjIcCI2BigACVkL1rssSztixSfamVDAjrSGOmykI845vXz50jKZZGchx1koNh0JEficLMus6keShZqEqoRViLHJ0CJU5959zi4MQ41GI202G43H46swiBCLzUhYO5vNLLtKqAWX5b/3fD7bPN3d3Zl8BmBj0Tebje7v7/XVr37VvChew4MpjmObCz85xFrxcMBzrJNekBpsN9iuB9tPPnSxHFgVJomuOkEQmJUKw0ttOX00B4OB1uu1gVKSVckANLKU0qXskMwkmUpA558D5fM6fqbXDxeQeyAgP51O1rYPDx/vg8xkq9WyI6X5LjrsDwYD+yw/y03IxWJgafF8WGju1z87i4WLosh6rxLusujwjTwE4OxI7kiy9ej3+8bhkTFm4zKXeFUkQAjLiqKw7vesM/KZyWSi2Wxmch82nSQLj8nObzYbpWmq4XBoGW68JNYZb6Gu0WC7wXZd2H7S1QiCQMPh0EIZLDY11CwGIYYPMCacTCLhEQJzFj1NU61WKzsU0Cfzsd5YYqplACzeB9eK1g+ujclmc3U6HbNaCLxJhAAurCaeD1nXu7s7bTabqyQI4KNCBx6HuZIulU/we5K+QbtIn1CSHhD9bEgSLJ1OR7vdzjSMeCskG+Af4ep4X7vdtjpzvpuHBJ4NGXfOjyJc42EwGAyMZwyCwDBAV39eL1XSGXhJNiqJErDEddc1Gmw32K4L21+oyxiuNovITaHP2+/3NglYejihw+Gg3W5nJXQcaeFnMX0xs2/ZCbVYQNx3gA/RD+/jh0FIcvBUADyTBR/k6xsRahNeYZnLsrRFJTFwOp3sfVwbXopfAROG1fHQaDrfv39/JS4neQHXx/Udj0fr20pCAAv98QGKCNt5nw+E9Xqt29tbqx5CX+h7D6wdGw3Qh2Go2Wymr33ta9aNifnNssw8CTw87gnZEZsYrSf8mc831jUabDfYrgvbX6jLmG95mWzCA77Inxj4LEKazz77zBa0KAoL4drttk0K3A5VQRDUw+FQo9HI6t3hwrA8eBZ+eMVN+wf8+QuMRQvD0Hg9GmFA4hO6ICQfjUZ68eKFZZs/5m0AOotLcsFPOEDmk1VmkdnsJAuQK7EJyVxTpgi/58ueCOf6/b52u51tfloG7nY7a7jM/SJj4hpJhkjVMTNJkuj29lY/8AM/YJwViRYSCpRakvjgHkg0lGWp+XxuISWNT+p+8DbYbrBdF7af7b3ABHKYG099nzT3K0C4QATVfHmr1TIOxS8vxCrt9/urDvhwNWQECQuQcSDp4PVMGFwU72PyqGrpdrvWVAROiYUGpHgk6AXDMLT3xHFspL8PKDK6lE8STgJOSZZYIfwgfOReAPZ6vVar1bo6YRbPBgu7Xq81m83UarX04sWLK20i3BOb3heh81AgXIM7JERl0xJuH49Hbbdb3d3dqdfrWciJF0fjk9vb2yuPzs86UxJKQoqHiC+w/9SjwXaD7bqw/eRDF9IdWQ0ENhNdlqXevXtnJ4YCDjohQeT7Ugpc9o8bieDGQ/yTefS5kVarpcVicSV4xmqSoCjLUsvl8orXkmTcFyCHWwOYyG0ILQAGGwItHgkWpCh8P8BnQbkfvo/eqoBlPp9bdyekP51Ox+YJT4XQju9FX+o/KPhOkhJYdUJKJDzoQtn4eGtIg9brtcqyNG6SjQiAttutPXx8MM/nc+vIBSgJz/1iAbwyrr1OT7fBdoPturD95EMX9zzLMuNnJFmIlGWZSUGwzHEc2wF39/f35o6fTif7PVUuCLl9cTkyEyYZsMExIcHBo2CC0jS1n93c3FhNOeHHfr83q0kShAnmviSZbhKL6IuzkySxbkMkKKRL8sDP5JK1hZTn91jGKIqsk5Mk0xoCHKwom4lu+mTQx+OxHh4ejE+KoshayjnndHNzYxIdSbZ50WICHLK+NBt5eHjQ+Xw2wTsPG+aBMI45I2z1vSo2OffPxoanZM59vu1TjwbbDbbrwvaTD93D4aAsyzSfzzWdTvXX//pfV55XfTWp8IBnYbJ9Kzyfz83dXiwWms1mV3wSNc+EcYRWWB9kGyQCACSg4BwnQEh4SFjHhJRl1Y0Iq42FpAb9eDxqOBxadQuhCuHE4+OjSVQoacQjYuHO50tDae6RrCvhKPdNuEVjEXSMeDhhGJpcCb6KuYUXLMuqH+h2uzWvA28KvSkhEOEOcifE3HgXhHdJkljVEA8egA74kyTR/f29cWBBEFxtcE5h4P4Gg4G9jgw61+rzhp96NNhusF0Xtp9tYs4kJUmizz777OrsIkInpDfOVb0w7+/vtVqtDGjOOSP+kcfgimdZZmEHgmcyvwALr0C6NP4gu0hneMIlxObwO/BxbDSsPKEEoFosFvZ6v5kyXgZhF5lPX5uYpqlxgyRe8CQAO1IYQjkWkp8nSXXMNxuU+5pMJhZewpfxNxsYELGZWSOSFFh86u/9PqVssuFwKKni0772ta9ZKJdlmXkIhHzM22q1skw3m7HVaunh4cE2Eg3A2VBv3rzR+Vwd/FjnGWkNthts14XtZ4sjuKA8z811n81mZiXhu2jllmWXVmhYNya+3+9b3TMTx4TiBWAl4Hxw/QG5b1XJajIxgI22dfBnHPMsybpA8b0sHhuAUAFSfL1e29Ehkszi8llktrl3Ftsn9ne7nYUkq9XKEhBsZkKVfr9vGWSqc9gEXC+hj88l4oVwHYS7WF4qlLD8h8PBHhZ4VQBYugjUW62WFQKQnOEeCTd3u52k6w5RNzc3V5wgOk42QBiG1sykrtFgu8F2Xdh+8qGLBebJjvaPkADiG15quVwqTVPd3d1ZySM6RJIOLCD6Ribad88hpfkZ1xHHsYVbWCSATKiAiB3ROSWTNKbGCgIsSPxOp2PhFZaeMMVPTtCxf71eG5iCoCoBRT/J+33vAgsOn7Tf7y3UwUIDqE6nY5sMa0rpKSeo0iUJ8XmSJNb8mSQPwGDuSd4gleJPr9ezNSVrjIg9z3M75YDQiQcG3tHLly+13+/N2/IfEuCAbLFUZZw3m41t6jpGg+0G23Vh+8mHLsDwb5CsKBU7WFO8Al+s7Qu4qTCBS2GBkGIgjEbz53NY4/HYsrBJkpjn4ctzyC7yfSw4PBcA8kXhWD1CIviw8XhsIQUeEdbbT7wQZlHpQ8hCmIgEhQ0BWPEA0jS9EluzyclG+xuOZAzeyng8Nk+J9cGqs7EpdUQv2etV5z/5WszHx0eT8TBvJFTwjjabjXForDGbVZLpE51zlun2j8Mhu43gXZJVJ9U1Gmw32K4L208+dKkcoQRxMBgojmOzElEUXfX5xO1/+/atndHEoidJYuT24+OjWTEWGF6HRcZin89nO2oDTR+JBTKuWEs8C7gzgBBFkU02gKPpMptjv99bZcxyuTRAs6k4ARRujWvFK8ED4D58HohNvl6vNRqN7LuZNzSMbDTCXd6/2+202WxsrtkwgJc5ZPOTgaYPLJ6bL+wmnIKDLIrCZFRc62AwsJp55pOsNGt7OBxUFIW1QcRjo3QUb5Cfn06XkwJI1NQxGmw32K4L208+dKmCybLM+A94D//oD/gRQAHPww1jjZHpkNUEzPv93qQno9HIrDQ3hdQGPok/TFi329Vut7sK+5hgXP/JZKIgCOwz2XhkHgHDdru1TeUnHgBMlmXm/fieDN4KIm9CECRCWXY55oXBgvkeFyJ6XyTvfz7ZWzwPQEGvVu6H5Ai6QeaKTcb6vX371kogZ7OZlV0Oh0PjsVjbw+FgoWyn07GmH2ma6v7+3jbceDy24gFf8sSmRsdap3qhwXaD7bqw/axkrNvtmsYQ7oasLhcIIJkkwqHz+WzZTjgz6XLstHRpj+ZbHMBPKSWeQRRV1TE+uQ4AeT3g9sXJAAtiHe7LPw5FkomwkQb5khI0e7vdTr1ez8JQss2EYGwKPCA2Fk2rWSRfVkJI498/AnIeEL4kp9VqXZU98nPuhc3pl5Ou12u7bvg1SXr9+rV5VJPJxDyOsixtY5CcwLNjrvzQGz6wKKpjttGdHg4HrVYr9ft9dTpVU5MoisyLqGs02G6wXRe2n3zozudz4yYgq+M4NkkNIQokNEdZkGWFRGdBgiCwUIYzjHD1CbF8q0tI9e7dO+sET6KBUkCABBnuZ0IBvCTrqBSGoX0HoQ+h5seideecNQMBLD73g7ieLCbfS/YasTzWFosIKDiY0Ae+DwpAzc/9hAGgCYKqoop7n8/nZv3ZXHSAou+ndDlGGx4TcBIiS7L54b6Yh88//9wy0HhFzCt6x81mY8UE/rq9fv3auMY6H7oNthtsMz41tp986GZZps1m8w29LuFHhsOhCcmRmEBOF0Wh8Xh8VbWC9o0KlFarZZ9NdQfaPo7qQLQNl+SHOCQoWAjAkiSJlsul3ThWnYkmw4zVRl7CREsy2QlNTuK4KvPEG3l4eNB0OjWrCzAJT+HmkBH54VEYhrZ4/J85hEv0ExY8EGiJhzfki8Z5DV4X/Bv9QulzymYBeAC/3W7bWgAwvySUJFK73dZXvvKVqyOy37x5o/l8bhuBzZbnuYW5SLDKsjRPxk8+fOrRYLvBdl3YfrbhDTcE/5PnuenRFouFkd6EY3EcW9d46RJeSNKLFy8se4n18oXYYRiakJlFZAFarZaWy6WB37c8gI36aiYRLySOY8toMslYbf4PqPzQ0bfwvogbS+uHWMwNyYler2fXmyTVESnwboRBk8nENhMLKOnq/X74S0YZ/tH/XrwfP9OOx+BXG7FJ/M5Z6C/jOLYHBkJ2wioyy0EQaDabWZklQCQZghfnc4OSLGnCWpzPZ1vrOkaD7QbbdWH7yUwGQmoIZRabL+10OqZf48l/OBy03W7N8viaOkIHJm2/3+v+/t5kMvzNRO12Oy0WCwuJ7u7uzN0nJPC1lJ1OxyqJIPjJTm+3W1sELCA8HN/Je6TK88Fq7vd7LZdL6+dJJyLuE4vphzUAmNALgCA9YbF4T5qmFoZyjRD+eFO8lx6vABGpEYvO/XEmli/pIRziNWwI3nd/f6/T6WReHnPJQyOKItOT4nlEUWTHuKB19CVHH2fb4zg2nqyu0WC7wXZd2H7S04VEZ6Jx7REvkwnlSwAnWV4uFgBRuUIYMZvNbGFYACziaDSyihdJJhkhA8pmkSprvd1uLewhTCPxQejwsdj8dDqZBeceAYtfG39zc2OW0c9K+rIQ5C1+QwwsLzX8kkyDCKAACNYcHirLMpMH4RWhgzyfzyZ3ovs9WW80pL1eT5999tmVoJ6NyfcEQdWJf7lcWltANkgcX8ocX758aQ8jvmu/318lXli7oihM2xhFlVB+OByaF4MUqizLWj3dBtsNtuvC9pMPXV/3BslOySPjdDpdhQpkWcnwIYeBFEc7J8lO2YTHyvOqOQjNOiaTiRH3JDfQERIy0JLPv8k8v4ilAS9AgOdC7sJnAQY/GypdtIlkhyUZzzWZTCxhANj8xUOn6JPqlID6nB8NPLIss7p0Nm1ZlqYn7Pf7SpLkG66Xe0OL2WpVZ2GFYdUdn/ml2z4AZgPSpq4oCpMfEZqOx2MLoX0pFUDk/UhoeC8PJLpHgR2kSnh8dY0G2w2268L2kw/d5XKp7XZrPBcTDujyPDfrhrUgzPAnHKFxnudXvTkJ77Defod355xlf0kOkIHlBgGfL0NBssLE43lg+VutlnFIfC56TCZzOp3a0StYciZ5t9vpeDwqjmPbkKvVyrSLzIN0OU8KzwKOjDkgq8xr4JuCIDApC1YUK8sme3h4sM8/nS5NrdO06rSPXvR0Ol3N98uXL7VYLOwzOLJbks0nWW24rTRNTQbjZ4/9c6mouHp8fLRMM94ZmxeB+X6/t9C0rtFgu8F2Xdh+8qE7HA5NroIlxnXHSpMlHA6HxklxM2Tw/CYbAAgOhf6jQRCYCBxvAuuClwBPMhwOLUTxLQrHKEOQ53lupY54MPA1RVGdwEqDE76PhZEuRLwv4Pb1ivyfzQVofBK+LCuhNJpMQiG/JR0Ao9TR55RoyuJbab/np78BO52qxn6xWJgQH4DjhXQ6HY3HY+33e02nU93f3xunyZyhYaWH6du3bzWfzzUcDk3sn2XVcdzUsXM/JFNINPg1/MfjUev12jSOJHPqGA22G2zXhe0nH7oQw0wqPBLZTzK6ZAOxajQTxnLDf02nUyOw4WkADiEe4QUJBsI3MpJINDqdjjabjV1Pu93W6XQyzWKrdWkg7Zyzph28H26HifS9AchxZEMsnK8FhDuDsyJhAdFOaShJkKIorHRxOp1KqkLFxWJhEpMgqLrgT6dTu+/9fq+XL1+aXIdQk/CSI2fwFPr9vl68eGHdqPzETFmWdm8kICaTiWkL/fJQNuZgMLBNnee5ptOpjsejyaUmk4l5gCRFoqg6TYCm1oTBfnORzWaj2Wz2FPy+raPBdoPturD97MkRWE6AxEIjk0iSxFx/JozWZiwalgcBNAuI9W2329put+r1eiY9wSqeTicDK79nweCERqOR8TpcDwfdISAnPENKwx8mig212Ww0n89tgvv9viUy/Aokn9/yLSCLT7jFBs/z3MCHtwB35pcT3tzcGE+FVOVwOBiAyKJPp1MFQWDeBkQ+ITIA9Ms12SgAMEkSzedz05xGUWTeVZZlZs0JnZAuTSYT+zkeA/fKQ0KShaL8jawHDLFR6xgNthts14XtZ7uMhWGo1WplFoMJp/xNuoQ13AycDtYeK+9c1TqP40XgrJhAMo/8m5CNDGeWVV2Q4FColSYcY3EBkU/0wzcBFEl2rpJzzsIs7ptJ59oHg4FJTfg8Xoul9UHHdRPOofkk00xoNRgMLFsbhqF1RXLOmVidBwQWHM8nz3M7mBCPA0DOZrOrZA4gZj3IZNP8Gd0npaGn08m4SK6POTocqqPHp9OplXFS+ZRlmXmDJGpms5mC4HLWFpyXny3/1KPBdoPturD97BHsaPNoEAJPk6apCaSlKhtM42U0fywqVpKQjkbLh8NBx+PRGloAcshpRM9xHBunRrlep9MxC4koHc+A0IiFJSuNJbq/v7d+ohy5QakgVTZ4LjSGJmnBnJBNpZUc3wlPRgKA8kwkMXmeX8mMCFPhjHivJAv3+v2+AZwEBQJ6vzqGTePPCUkSeC3AQsKl2+3aCQCsNVlYNn1RFAZkEiI0qfYtPtdPiI6nhWwH+ROCeULzOkaD7QbbdWH7SVfDF1qTpeSCptOpNdWgCgTSm8XebDZaLpe2IL6UhXPp+QySFHEcW3NmhMZMpt8FyPcWAK0fBsHLcB/H49HE5tTIIyV58+aNPv/8cwuViqKwI1nIwGJR4YQIV7Lscpw2XgEiau4bkT2ZYrwiwFMUVTMVwAXR32q1rpph+/pL5EB4PGzyxWJhYRicINeDd0KGGi2kJMv6ZllVHrvb7SybTZjJtfr6TzY917nb7az7FZ4Hkiqql8BBnaPBdoPturD95EOXrCruO5wJXxKG4dVxIUwS1mo8Hms6nV6FAlJl8SHy4bPKsrRwwrdmhB5hGBpgmTz4Ko4BwUvh+zlam9BhvV4rCAIrB4Q3K4pCr1+/NnKeJIZfsw5Xh0fCJkDMPplMzOIhimejksCA0CcBQJKG1zM3VOSQBCFMJLlDVpnXR1FkLeeo5WdTcM1+iMvn3t7emtQIj4xQF40kWXxJNqer1cr6h5ZladwXWd/pdKrpdGrXEYahbm9v7VrhLpfL5c/zUfnljQbbDbbrwvaznC66M6wf9dZIL7CguN9wOkw+/AdWHP4LaQ3WgsxvFEXmCbApfM6MTQBZPpvN7DtomgFPBzeV57nJTZIkMbkQw69IAUDweHw/+ko/Kw23lue5ZVHH47HW67XpI/lsfw6w9H6Ig/cAH3R3d2cPAzK4fA7hEyGgJNsobGR0hIjmSaw8Pj6at8OGBSxFUdgGYQ2w+Nzrcrm00I35pQkKr5V0JW0i4w0/Clfmr8GnHg22G2zXhe0nPd2iKIzoRhTuXNV7EsEwGdsoikxwTHMOPACAy6RxYVg9Fnm9XltowsQ754w7AiR4E1S9YHW73a6m06larZYmk4lms5l5F+/fvzdrxHdKMitPOCfJFgrSPE3Tq05GAAmL7fM4EPoAkvCPzDMbKE1T+/wwDM26YpH5Dl57Pp+NM4OTAwx4EFhwNgsdpvjOzWZjHkG73bbaf74DK00mm8+SLsUA8/lck8nEwmw6OFHJhLYRmRXcF3+TJSZRUtdosN1guy5sP+npwgFx42jWIJOjqGppF8exFouF4jhWt9u1TCfHoDD5aBAl2WdIl6RGp9OxRANVM8fj0ZIGbACuibCKcBCLy6bhMxGg49HQbEOqMsvj8diSH1hbspUsDJUtfDehC6CcTqem68TSkZwhLJJ09bswDM3KAwTE5YCkKAqrbafzPV6Ar+9EikR42G5XXexZHzSQhND9fl/D4dAeHHhDvIYkCtzVdrs1uQ8JIbgzQjXWGVkRuCFRw3dQLcWc1DEabDfYrgvbTz50sRLwLHBYgAcrRnaXI5ghx2ezmbbb7VVJHFnH0WhkPBiSkzAMzft4eHjQbDazCg90dcfj0eqpyS4Oh0M55+zUTjYAi+tcdQBgp9PRYrGwsHE4HJqG0bfALIxPiJOhZYJ5PYvAohGqIRei0xHJFOecfX+v17MEBHMhVTX/tB70tZiEgGwwXxg+GAy0XC6Ni2OgIeW64f3wivCs8DRYb+53tVpZYokGJHhN/M3cDwYDSx4FQWBJDTCx3+8lyc7SYo7qGA22G2zXhe0n6QU/Y8mE9Xo944WiKNJ0OjXCnIwtGdGiKExMnqapJSnwLLgpOLLz+WzgGg6HdnPUTcMlIezGMiL7YMFZGLg0BOqHw8FqvcmK+t9JqOd3UkICw+exoCRDkMZwfZKu/oYnxGqymbCakq4SE845y67u9/ur747j2LwdwlqsLt4BmV1C2TAMzSMj+eCv78deWRzHV2tONhzw8282vCRL2ARBYFlxeDPWPs+rXgbMB9KeukaD7QbbdWH7yYcu59ADNsIZOBZAxuTQcZ3XvHv3TmVZGi+CJjCKoqtWbGSAkaD4WV0sLRMMqY5lxZOAZwGILBCEt18aCXiZNBafiWLCAR1WDM+h1+uZsJqySxbDl9oQWqKTBJRwUgCdOaEZNJ5Wv983cI7HYyPz4c/4vFarZWsSx7FtBLSYq9XKwjfuDS+O6+Uh9ObNG9tw6C3ZGHhLzB3fEUWR5vO5RqORcX5whzxgkNvgKXCddY0G2w2268L2k/QCVpMPKIrLOfUQ7W/fvtV4PNZisTDpRpIkBmhCKz+EkqS7uzsj0eFkvv71r2swGFxlL+HZ+D5kIYie6YCElSKZsdlsLHxgItFZ8m8sPwkHeCLkK37mFWtHVppN2Wq1LGnAdWMpqWCRZE1TSFhQfgl42RCEjZKsK9NyubR79RM38F1+6Md80pCb0K3dblt5KfOAd0cIGASB1YwjkeLoF2RADICN50OFU57n1lSb7DvrR9KBpE+dXcYabDfYrgvbTz504zjW/f29Te7Nzc2VcFmSdVvCEsHLYDWLorBmwshKOp2OtY7ziWv4FTwKDu3bbDa6u7tTEAQWQlFTjZaRBSL77HM5/Gy329kZR5IsG00NeFEUms1mBirE0Uw8ngdVRGRLx+OxhU8ABHBSmeJrAtlgiMUh632R+36/V1EUV935+T7m/XSqmqDQpSnLMvOoRqORtQzkoeJ7DcdjdUYUIS4hIJ9PWCbJ3kOY7GeWyejSMrDb7ZqntNvt7GHmS4IIm31+7lOPBtsNtqV6sP1sw5tXr17ZF0AeA4put2v9NpHV+DeBu09IgrVEC0cWEf4miqqqj/F4rO12a30rqZ1mwpDESJdabTLL/uf5XYIIzeBbiqKwDYUwPgxD+/fHEhU4NcIfmpCQ4YU/4vUs8na71XQ6VRhWdf53d3cWUiIvwiug0Uqr1dJgMLDDDn2vwbeibMQsy4yzwyKfTlXNOaWqfihK5hvhPWsDsDudjmVg0TuS0carwwvodrtX68ODazQaWVMWxOXwfGw4n4P71KPBdoPturD9LL0AsY9uUZIR2+j2SD5wvhALBQ80Go2uyiI5NhmLSr0zWU8WNwgCs1RoCQEAi4O2kvCCjkur1UqSjGj3gYh18hsOQ+D7Gwir7jcT8YHBJiRUxcJj8dgoeE8kZlgQQBcEgR0LQy/OdrttZYWbzUbtdtvCIRICeCKSrHKG5hyAB6ChUYSHA6xsWO6FkG2322k+n1uCgk1LVnY4HGq326ksL13y0b6y7u12+6pM1P/+JEmsDWAdo8F2g+26sP1sfAch3u/3r8oi4UQAmi+LCYLAwIcmUJLev3+vMKxEyEg7+v2+xuOxJR+yLDNg8/P3799bhtSvkYb8B0yUFJKYkCo5yn6/t88nvJN0tUj39/eWRAD8hE1YVDLGEP38nJCEf7PQbK7z+WxloT7Xw0JzD4CAEI/QCy/g5ubGNg1ll9Sjw//hgREucV14SRQDsJmYLwTshI70OWUToKsksZJlVU8B+Dfmc7PZ2GYjy+ucM1zwfkn28KhrNNhusF0Htp986C6XSx0OBy0WCwtNyCq2223d3t5aFpQJh89gcfb7vXVB4obgq7BWfvUGZXdSZekh/dkQkqzvJpPol2mymajVLopCi8XCPBGfb/FLF6Ooak7MAXbcA5lmCHeylGwYqmnYLIQanGrqZ0U///xz436Yj06nY94WYSxcIJud+v08r6pi8Lr8rDVCdJ/XI8lCizt+JsnKTgGzXwHFveDFEBpz7VKV7ebBhJQGr8Pn/9gEkuzaqAqq82DKBtsNtuvC9pP0At2F+HLCFEIiMox0eIfj4AZns5lZzVarZaEHVkWS8T5MGm46ekFkOQAdQHJOEkd18L0AlAQJoR3XCl9DjbkfikiXk0VpGh2GobXrY7Pw/levXl0J1Vutli0SXoPPEfH7JEksE0uYSza80+nYvJ9OJwMU4Yq/AZlLrhsuTbqUe2K14bcI0Uhq+LpMNpLvAeCB+ZlnHgSSLGOPV0HFEByZf2Q5WXheTzVSHaPBdoPturD9hegFmhFz88hOuHh0i/AuyC+welw8JD83xQJwVAqhBECG5EcuQkjhnLNaaxYJXaO/WD4PxEmkSZJYRyasFaBi4bGmZKDZPIRIflLB12Vi+QnfyOTyczghKoiQ8azXa51Op6tMNWHkdDrV7e2tyZWwpmg/SZ4AIhI78I+01Vuv15bNJZGC9+Jc1VQa3SEJITwduDDmiUxxmqZWfcXnAUBOvuV9JH0If/1/1zUabDfYrgPbT3q6WCZJZl35Ushv56oyRN/tRy/ITSMwJyGBtTyfL02cscCtVssyyUz817/+dePLsCaSrEk0G4iEAwAIguCqf2e329VyuVRRXBphIIqHUOe1XC+biwoXJCRsMrKkJFewqEiLABkLHoaXah3/fik1BGS8h8UbDAYWfrEZB4OBbSgytMwJ4dF4PLYwKgyr1n7wVRyCSD8AQEeGHLkRHCWbD/H3er22U20BHg8OCgt4ePleENlsP1P/qUeD7QbbdWH7SU8XITITSeUOVtav1OBnuOlUtEhVOAaf5Zfm3dzcmGXx+4B2u12zipL0+vVrzedzywZ3OtWpn6PRyBY6z3PrrE+io9WqmlpMJhP7ebvd1mQyuSLC2VDSpXKHk0ElGY9DKEfWlFAD7ggPA6DCIZHRZMORYca7wkLz+SQCSIxQzlkUhUajkQaDgeK4OiabjYMwHG6RBwbh0/l8tm5KZOWZI/gyKnc474pr4b6omKI3wGw2uxKJI1pnDskYR1Gk0WhknhWbtc6TIxpsN9iuC9vPnhyBjAQLyYmevrVkUuE6SEDANWE5/Wxgmlb16kwsFoZJReC8Wq2uPAAsGNcGH+Vr68bjsaIoMnH5fr9XFEWmrcNiETqQ7PD5Oc4+YiGwdFg4wio/DGTD+SFKEFRlgVznbre72kyHw0Hv3r0zT2S9XtspAswhfJHPY0Hu42EQLlFh1e/3jXcjHGSjcO104wd8/mv4N3wb+ku4T+ZC0lWoGUWRZXHDMLTGKyQu/Gy4n0D61KPBdoPturD95EMXNxviHFG2JOOufF4HsHIRfpXKx7KP9XptAMGaEepg2ZMkMT0d/A2SFj4/DMMrMpyfY3VIVNCeT7qczxRFkQEEziYIAmsSQtjmS1y4bxa4KAqrbGLzsWF8aQ2AR9/ncz5YVL7bfy/ZV8IYQj1ASli23W4tsUE1T1EUVuuOZpMNxAMB6RL9Xvne9Xp9df08lJhjPCQAzfVwsB+nH7BmzDdr4Cdh6hgNthts14Vt51vaZjSjGc1oxrd31Ff83oxmNKMZ34Ojeeg2oxnNaMYnHM1DtxnNaEYzPuFoHrrNaEYzmvEJR/PQbUYzmtGMTziah24zmtGMZnzC8f8DPbgtD0VOkw8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplot(121), plt.imshow(log_fft_shift_img, \"gray\"), plt.title(\"Log FFT Shift Image\"), plt.axis(\"off\")\n",
    "plt.subplot(122), plt.imshow(log_fft_shift_img_a, \"gray\"), plt.title(\"Log FFT Shift Image A\"), plt.axis(\"off\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以发现，两张图片在特征上没有差异，但是在图像对比度和亮度上还是有一定的差异。估计原因是 Numpy 的傅里叶变换函数使用了不同的图像增强手段对图片进行加工处理。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 全部代码参考"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import math\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "# 读取图片\n",
    "original_img_color = plt.imread(\"../../src/Lenna.jpg\")\n",
    "original_img = 0.2126 * original_img_color[:,:,0] + 0.7152 * original_img_color[:,:,1] + 0.0722 * original_img_color[:,:,2]\n",
    "plt.subplot(251), plt.imshow(original_img_color, \"gray\"), plt.title(\"Original Image In Color\"), plt.axis(\"off\")\n",
    "plt.subplot(256), plt.imshow(original_img, \"gray\"), plt.title(\"Original Image\"), plt.axis(\"off\")\n",
    "\n",
    "# 直接调用傅里叶变换函数\n",
    "fft_img = np.fft.fft2(original_img)\n",
    "log_fft_img = np.log(1 + np.abs(fft_img))\n",
    "fft_shift_img = np.fft.fftshift(fft_img)\n",
    "log_fft_shift_img = np.log(1 + np.abs(fft_shift_img))\n",
    "\n",
    "# 图片展示\n",
    "plt.subplot(252), plt.imshow(np.abs(fft_img), \"gray\"), plt.title(\"FFT Image\"), plt.axis(\"off\")\n",
    "plt.subplot(253), plt.imshow(np.abs(fft_shift_img), \"gray\"), plt.title(\"FFT Shift Image\"), plt.axis(\"off\")\n",
    "plt.subplot(257), plt.imshow(log_fft_img, \"gray\"), plt.title(\"Log FFT Image\"), plt.axis(\"off\")\n",
    "plt.subplot(258), plt.imshow(log_fft_shift_img, \"gray\"), plt.title(\"Log FFT Shift Image\"), plt.axis(\"off\")\n",
    "\n",
    "\n",
    "# 从新数组位置到原数组位置的映射\n",
    "# original_number: 新数组中的位置编号\n",
    "# bit: 新数组/原数组 的数组长度对应的比特数\n",
    "def locationMap(original_number, bit):\n",
    "    res = 0\n",
    "    for i in range(bit):\n",
    "        res = res + math.trunc(((original_number & math.trunc(math.pow(2, i))) >> i) * math.pow(2, bit - i - 1))\n",
    "    return res\n",
    "\n",
    "\n",
    "# 对原来的数组进行重排\n",
    "# original_array: 原数组，二维数组\n",
    "# axisX: 対原数组的X轴进行重排(True)/Y轴进行重排(False)\n",
    "def arrayRearrangement(original_array, axisX=True):\n",
    "    row, col = original_array.shape\n",
    "    row_bit = math.trunc(math.log(row, 2))\n",
    "    col_bit = math.trunc(math.log(col, 2))\n",
    "    new_array = np.zeros([row, col], dtype=original_array.dtype)\n",
    "    # print(\"original array type : {0}\".format(original_array.dtype))\n",
    "    if axisX == True:\n",
    "        for i in range(col):\n",
    "            new_array[:,i] = original_array[:,locationMap(i, col_bit)]\n",
    "    else:\n",
    "        for i in range(row):\n",
    "            new_array[i,:] = original_array[locationMap(i, row_bit),:]\n",
    "    return new_array\n",
    "\n",
    "\n",
    "# 对排序后的数组进行X轴傅里叶变换\n",
    "# rearranged_array: 重排后的数组\n",
    "# colLength: 重排后的数组的列数\n",
    "def Xtransformation(rearranged_array, colLength):\n",
    "    M = len(rearranged_array)\n",
    "    if M == colLength:\n",
    "        return np.hstack(rearranged_array)\n",
    "    new_array = [0 for i in range(2 * M)]\n",
    "    for i in range(M):\n",
    "        even_array = rearranged_array[i][:,::2]\n",
    "        odd_array = rearranged_array[i][:,1::2] * np.exp(-1j * np.pi * i / M)\n",
    "        new_array[i] = (even_array + odd_array)\n",
    "        new_array[i + M] = (even_array - odd_array)\n",
    "    return Xtransformation(new_array, colLength)\n",
    "\n",
    "\n",
    "# 对重排后的数组进行Y轴的傅里叶变换\n",
    "# rearranged_array: 重排后的数组\n",
    "# rowLength: 重排后的数组的行数\n",
    "def Ytransformation(rearranged_array, rowLength):\n",
    "    M = len(rearranged_array)\n",
    "    if M == rowLength:\n",
    "        return np.vstack(rearranged_array)\n",
    "    new_array = [0 for i in range(2 * M)]\n",
    "    for i in range(M):\n",
    "        even_array = rearranged_array[i][::2]\n",
    "        odd_array = rearranged_array[i][1::2] * np.exp(-1j * np.pi * i / M)\n",
    "        new_array[i] = (even_array + odd_array)\n",
    "        new_array[i + M] = (even_array - odd_array)\n",
    "    return Ytransformation(new_array, rowLength)\n",
    "\n",
    "\n",
    "# 对输入数组进行快速傅里叶变换\n",
    "# original_array: 输入数组，该数组的行数与列数必须是2的指数\n",
    "def FFT(original_array):\n",
    "    row, col = original_array.shape\n",
    "    if math.modf(math.log(row, 2))[0] != 0.0 and math.modf(math.log(col, 2))[0] != 0.0:\n",
    "        print(\"输入矩阵的维度错误，输入矩阵的行与列都必须是2的指数！\")\n",
    "        return None\n",
    "    else:\n",
    "        Xtraned_array = Xtransformation([arrayRearrangement(original_array, axisX=True)], col)\n",
    "        FFT_array = Ytransformation([arrayRearrangement(Xtraned_array, axisX=False)], row)\n",
    "        return FFT_array\n",
    "\n",
    "\n",
    "# 计算图片的傅里叶变换（快速傅里叶变换）\n",
    "fft_img_a = FFT(original_img)\n",
    "log_fft_img_a = np.log(1 + np.abs(fft_img_a))\n",
    "fft_shift_img_a = np.fft.fftshift(fft_img_a)\n",
    "log_fft_shift_img_a = np.log(1 + np.abs(fft_shift_img_a))\n",
    "\n",
    "# 图片展示\n",
    "plt.subplot(254), plt.imshow(np.abs(fft_img_a), \"gray\"), plt.title(\"FFT Image A\"), plt.axis(\"off\")\n",
    "plt.subplot(255), plt.imshow(np.abs(fft_shift_img_a), \"gray\"), plt.title(\"FFT Shift Image A\"), plt.axis(\"off\")\n",
    "plt.subplot(259), plt.imshow(log_fft_img_a, \"gray\"), plt.title(\"Log FFT Image A\"), plt.axis(\"off\")\n",
    "plt.subplot(2,5,10), plt.imshow(log_fft_shift_img_a, \"gray\"), plt.title(\"Log FFT Shift Image A\"), plt.axis(\"off\")\n",
    "\n",
    "plt.subplots_adjust(right=1.8)\n",
    "plt.show()"
   ]
  }
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